77913633996900 has 405 divisors, whose sum is σ = 264718624145703. Its totient is φ = 19167724742400.

The previous prime is 77913633996889. The next prime is 77913633996923. The reversal of 77913633996900 is 969933631977.

The square root of 77913633996900 is 8826870.

It is a perfect power (a square), and thus also a powerful number.

77913633996900 is a `hidden beast` number, since 7 + 7 + 91 + 3 + 63 + 399 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 836752926564 + 77076881070336 = 914742^2 + 8779344^2 .

It is a super-2 number, since 2×77913633996900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 44752230030 + ... + 44752231770.

Almost surely, 2^{77913633996900} is an apocalyptic number.

77913633996900 is the 8826870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77913633996900

77913633996900 is an abundant number, since it is smaller than the sum of its proper divisors (186804990148803).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77913633996900 is an equidigital number, since it uses as much as digits as its factorization.

77913633996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 312487308, while the sum is 72.

The spelling of 77913633996900 in words is "seventy-seven trillion, nine hundred thirteen billion, six hundred thirty-three million, nine hundred ninety-six thousand, nine hundred".