Octoquinquagintaducentillion

An octoquinquagintaducentillion is equal to \(10^{777}\) in the short scale and \(10^{1548}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 258th -illion number.
In the long scale, \(10^{777}\) is called novemviginticentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{777}\) (exact) 	\(1\times10^{777}\) (exact)
Arrow notation 	\(10\uparrow 777\) (exact) 	\(10\uparrow 777\) (exact)
Steinhaus-Moser Notation 	311[3] 	312[3]
Chained arrow notation 	\(10\rightarrow 777\) (exact) 	\(10\rightarrow 777\) (exact)
Taro's multivariable Ackermann function	A(3,2578) 	A(3,2579)
BEAF & Bird's array notation 	{10,777} (exact) 	{10,777} (exact)
Hyper-E notation 	E777 (exact) 	E777 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(311) 	m(1)(312)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[32] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[33]
Fast-growing hierarchy 	\(f_2(2569)\) 	\(f_2(2570)\)
Hardy hierarchy 	\(H_{\omega^2}(2569)\) 	\(H_{\omega^2}(2570)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 7+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 7+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1548}\) (exact) 	\(1\times10^{1548}\) (exact)
Arrow notation 	\(10\uparrow 1548\) (exact) 	\(10\uparrow 1548\) (exact)
Steinhaus-Moser Notation 	562[3] 	563[3]
Chained arrow notation 	\(10\rightarrow 1548\) (exact) 	\(10\rightarrow 1548\) (exact)
Taro's multivariable Ackermann function	A(3,5139) 	A(3,5140)
BEAF & Bird's array notation 	{10,1548} (exact) 	{10,1548} (exact)
Hyper-E notation 	E1548 (exact) 	E1548 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(562) 	m(1)(563)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5130)\) 	\(f_2(5131)\)
Hardy hierarchy 	\(H_{\omega^2}(5130)\) 	\(H_{\omega^2}(5131)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 4+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers