800

800は自然数、また整数において、799の次で801の前の数である。

1. 性質
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800は合成数であり、約数は 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800 である。
約数の和は1953。
195番目の過剰数である。1つ前は798、次は804。
約数の和が奇数になる48番目の数である。1つ前は784、次は841。
約数を18個もつ13番目の数である。1つ前は768、次は828。
1 = 0.00125
割合にすると0.125%。
逆数が有限小数になる27番目の数である。1つ前は640、次は1000。
182番目のハーシャッド数である。1つ前は792、次は801。
8を基としたとき7番目のハーシャッド数である。1つ前は512、次は1016。
800 = 23}} + 43}} + 63}} + 8
4連続偶数の立方和で表せる数である。1つ前は288、ただし自然数の範囲では最小、次は1792。
//n// = 2 のときの //n//3}} + 3}} + 3}} + 3}} の値とみたとき1つ前は496、次は1224。
4つの正の数の立方数の和で表せる223番目の数である。1つ前は795、次は802。
異なる正の数の4つの立方数の和1通りで表せる51番目の数である。1つ前は793、次は802。
800 = 03}} + 23}} + 43}} + 63}} + 8
5連続偶数の立方和で表せる数である。1つ前は280、ただし負の数を除くと最小、次は1800。
//n// = 0 のときの //n//3}} + 3}} + 3}} + 3}} + 3}} の値とみたとき1つ前は495、ただし整数の範囲では最小、次は1225。
自然数の偶数の立方和とみたとき1つ前は288、次は1800。
約数の和が800になる数は2個ある。 約数の和2個で表せる53番目の数である。1つ前は784、次は828。
各位の和が8になる45番目の数である。1つ前は710、次は1007。
800 = 25}} × 5
2つの異なる素因数の積で //p//5}} × //q//2}} の形で表せる2番目の数である。1つ前は288、次は972。
10番目のアキレス数である。1つ前は675、次は864。
//n// = 5 のときの 2//n//}} × //n//2}} の値とみたとき1つ前は256、次は2304。
800 = 2 × 20
//n// = 20 のときの 2//n//2}} の値とみたとき1つ前は722、次は882。
800 = 8 × 10
//n// = 10 のときの 8//n//2}} の値とみたとき1つ前は648、次は968。
//n// = 8 のときの 100//n// の値とみたとき1つ前は700、次は900。
800 = 71}} + 82}} + 93}} =  × 2}} = 93}} + 92}} − 9 − 1
//n// = 9 のときの //n//3}} + 2}} +  の値とみたとき1つ前は567、次は1089。
800 = 42 + 282 = 202 + 202
異なる2つの平方数の和で表せる236番目の数である。1つ前は797、次は801。
2つの平方数の和2通りで表せる53番目の数である。1つ前は793、次は820。
800 = 122}} + 162}} + 20
3つの平方数の和1通りで表せる126番目の数である。1つ前は793、次は808。
異なる3つの平方数の和1通りで表せる154番目の数である。1つ前は793、次は808。
//n// = 800 のとき //n// と //n// + 1 を並べた数を作ると素数になる。//n// と //n// + 1 を並べた数が素数になる96番目の数である。1つ前は798、次は806。
800 = 302}} − 100
//n// = 30 のときの //n//2}} − 100 の値とみたとき1つ前は741、次は861。

2. その他 800 に関すること
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800の接頭辞：octingenti
日本語では数がとても多いことを表す比喩として用いられる。
八百屋 - ただし、青屋の転との説もある。
八百長
八百万
嘘八百
ウソ800 - ドラえもんのひみつ道具の1つ。
嘘八百 - 2018年の日本映画。
ホント八百 - 東隆明著。天災人災からの復興についての随筆。
アンサイクロペディアは、八百科事典。
ISO 3166-1国名コードの800は、ウガンダ。
国際電話番号の800は、国際フリーフォン。
アメリカ国内でも800は、着信課金サービス電話番号の1つ。通常は1-800-XXX-XXXXとダイヤルされる。
800MHz帯は、およそ770MHzから960MHzの範囲の周波数帯。
アメリカのSAT の各科目の満点は800点。
Atari 800は、アタリのホームコンピュータ。
IXY DIGITAL 800 ISは、キヤノンのデジタルカメラ。
800系 - 800系、800形の鉄道車両
トヨタ・スポーツ800は、トヨタ自動車のスポーツカー。
ホンダ・S800は、本田技研工業のスポーツカー。
ユーノス800は、マツダの乗用車。
ローバー・800は、イギリスのローバーの乗用車。
陸上競技種目
800メートル競走
800メートルリレー走
800は、川島誠の小説およびこれを原作とした廣木隆一監督の映画。
MONGOL800は、ロックバンド。
トランス・ワールド航空800便墜落事故は、1996年におきた航空事故。

3. 801 から 899 までの整数
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3.1. 801 から 820
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801 = 32 × 89、ハーシャッド数、やおいの語呂合わせ

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802 = 2 × 401、8つの連続した素数の和 、ノントーティエント

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803 = 11 × 73、ハーシャッド数、3つの連続した素数の和 、9つの連続した素数の和 

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804 = 22 × 3 × 67、ハーシャッド数、ノントーティエント

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805 = 5 × 7 × 23、楔数

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806 = 2 × 13 × 31、楔数、ノントーティエント、1945年8月6日ヒロシマのMMDD

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807 = 3 × 269

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808 = 23 × 101、7セグメントディスプレイでの表示で点対称な数である。

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809 : 素数、31番目の双子素数、ソフィー・ジェルマン素数、陳素数、1945年8月9日ナガサキのMMDD

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810 = 2 × 34 × 5、ハーシャッド数

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811 = 53}} + 73}} + 73}}、 素数、数字を入れかえた181も素数、31番目の双子素数、陳素数、5つの連続した素数の和 、JR九州811系電車

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812 = 22 × 7 × 29 = 45}} − 35}} + 25}} − 15}} = 28 × 29 、28番目の矩形数

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813 = 3 × 271 = 280}} + 281}} + 282}} 、JR九州813系電車

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814 = 2 × 11 × 37、楔数、ノントーティエント

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815 = 5 × 163、1945年8月6日ヒロシマの原爆爆発時刻のHHMM、終戦の日のMMDD、JR九州815系電車

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816 = 24 × 3 × 17、16番目の三角錐数、ズッカーマン数

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817 = 19 × 43、3つの連続した素数の和 、JR九州817系電車

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818 = 2 × 409、ノントーティエント

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819 = 32 × 7 × 13 = 93}} + 92}} + 9 = 45}} − 44}} + 43}} − 42}} + 4 − 1、13番目の四角錐数  、JR九州BEC819系電車

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820 = 22 × 5 × 41 = 93}} + 92}} + 9 + 1 = 45}} − 44}} + 43}} − 42}} + 4 、40番目の三角数、ハーシャッド数

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3.2. 821 から 840
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821 : 素数、32番目の双子素数、四つ子素数 、数字を入れかえた281も素数

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822 = 2 × 3 × 137、楔数、12個の連続した素数の和 

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823 : 素数、32番目の双子素数、四つ子素数 、数字を入れかえた283も素数

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824 = 23 × 103、10個の連続した素数の和 、ノントーティエント

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825 = 3 × 52 × 11、スミス数、ハーシャッド数

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826 = 2 × 7 × 59、楔数

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827 : 素数、33番目の双子素数、四つ子素数 、7つの連続した素数の和 、陳素数

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828 = 22 × 32 × 23、ハーシャッド数、7セグメントディスプレイでの表示で点対称な数である。

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829 : 素数、33番目の双子素数、四つ子素数 、3つの連続した素数の和 、陳素数

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830 = 2 × 5 × 83、楔数、4つの連続した素数の和 、ノントーティエント

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831 = 3 × 277、チャットなどでのスラングで「I love you」の意。

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832 = 26 × 13、ハーシャッド数

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833 = 72 × 17

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834 = 2 × 3 × 139、楔数、6つの連続した素数の和 、ノントーティエント

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835 = 5 × 167　

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836 = 22 × 11 × 19、2番目の不思議数

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837 = 33 × 31

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838 = 2 × 419

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839 : 素数、安全素数、陳素数、5つの連続した素数の和 

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840 = 23 × 3 × 5 × 7。13番目の高度合成数であり、約数を32個持つ。1 から 10 までの数のうち9 を除いて全ての数で割り切れる最小の数、ハーシャッド数、双子素数の和

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3.3. 841 から 860
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841 = 292 = 202 + 212 、29番目の平方数、3つの連続した素数の和 、9つの連続した素数の和 、中心つき四角数、中心つき七角数、中心つき八角数

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842 = 2 × 421、ノントーティエント

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843 = 3 × 281

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844 = 22 × 211、ノントーティエント

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845 = 5 × 132

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846 = 2 × 32 × 47、8つの連続した素数の和 、ノントーティエント、ハーシャッド数

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847 = 7 × 112

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848 = 24 × 53

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849 = 3 × 283

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850 = 2 × 52 × 17、ノントーティエント

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851 = 23 × 37、エフエム大阪の略称

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852 = 22 × 3 × 71、24番目の五角数、スミス数　「太鼓の達人」による「練習曲op.10-4」は852コンボ。

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853 : 素数

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854 =2 × 7 × 61、楔数、ノントーティエント

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855 = 32 × 5 × 19

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856 = 23 × 107、中心つき五角数

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857 : 素数、34番目の双子素数、3つの連続した素数の和 、陳素数、数字を入れかえた587も素数

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858 = 2 × 3 × 11 × 13、日本プロ野球全球団がレギュラーシーズンで行う全試合数、7セグメントディスプレイでの表示で点対称な数である。

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859 : 素数、34番目の双子素数

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860 = 22 × 5 × 43、4つの連続した素数の和 

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3.4. 861 から 880
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861 = 3 × 7 × 41、41番目の三角数、21番目の六角数、楔数、スミス数

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862 = 2 × 431

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863 : 素数、安全素数、陳素数、5つの連続した素数の和 、7つの連続した素数の和 、数字を入れかえた683も素数

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864 = 25 × 33、双子素数の和 、ハーシャッド数、6つの連続した素数の和 

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865 = 5 × 173

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866 = 2 × 433 = 133}} − 113}} 、ノントーティエント

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867 = 3 × 172

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868 = 22 × 7 × 31、ノントーティエント、プロ野球通算ホームラン数最高記録は868本

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869 = 11 × 79、3つの連続した平方和

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870 = 2 × 3 × 5 × 29、29番目の矩形数、ハーシャッド数、10個の連続した素数の和 、ノントーティエント

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871 = 13 × 67

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872 = 23 × 109、ノントーティエント

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873 = 32 × 97 = 1! + 2! + 3! + 4! + 5! + 6!

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874 = 2 × 19 × 23、19番目の七角数、楔数、最初の23個の素数の和、ノントーティエント、19を基としたとき最小のハーシャッド数

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875 = 53 × 7

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876 = 22 × 3 × 73

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877 : 素数、ベル数、陳素数

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878 = 2 × 439、ノントーティエント

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879 = 3 × 293

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880 = 24 × 5 × 11、ハーシャッド数

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3.5. 881 から 899
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881 : 素数、35番目の双子素数、9つの連続した素数の和 、陳素数

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882 = 2 × 32 × 72、ハーシャッド数

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883 : 素数、35番目の双子素数、3つの連続した素数の和 

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884 = 22 × 13 × 17

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885 = 3 × 5 × 59、楔数

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886 = 2 × 443

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887 : 素数、安全素数、陳素数

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888 = 23 × 3 × 37、8つの連続した素数の和 、ハーシャッド数、7セグメントディスプレイでの表示で点対称な数である。

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889 = 127 × 7 = 13}} + 23}} + 33}} + 53}} + 63}} + 83}} = 3}} + 3}} + 3}} + 3}} + 3}} + 

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890 = 2 × 5 × 89 = 103}} − 102}} − 10、楔数、4つの連続した素数の和 、ノントーティエント

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891 = 34 × 11、5つの連続した素数の和 

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892 = 22 × 223、ノントーティエント

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893 = 19 × 47、薬味の語呂合わせ、ヤクザ

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894 = 2 × 3 × 149、楔数、ノントーティエント

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895 = 5 × 179、スミス数

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896 = 27 × 7、6つの連続した素数の和 

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897 = 3 × 13 × 23、楔数

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898 = 2 × 449、ノントーティエント

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899 = 29 × 31

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4. 関連項目
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数に関する記事の一覧
100 - 200 - 300 - 400 - 500 - 600 - 700 - 800 - 900 - 1000
西暦800年 - 紀元前800年
800年代 - 紀元前8世紀
斜体で表した数は素数である。