77900097600 has 420 divisors, whose sum is σ = 308374076164. Its totient is φ = 19174993920.

The previous prime is 77900097593. The next prime is 77900097601. The reversal of 77900097600 is 679000977.

It can be written as a sum of positive squares in 6 ways, for example, as 139428864 + 77760668736 = 11808^2 + 278856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77900097601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1661682 + ... + 1707918.

Almost surely, 2^77900097600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77900097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154187038082).

77900097600 is an abundant number, since it is smaller than the sum of its proper divisors (230473978564).

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

77900097600 is a wasteful number, since it uses less digits than its factorization.

77900097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46284 (or 46260 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 77900097600 in words is "seventy-seven billion, nine hundred million, ninety-seven thousand, six hundred".