76688934400 has 120 divisors (see below), whose sum is σ = 204618872304. Its totient is φ = 28315852800.

The previous prime is 76688934397. The next prime is 76688934401. The reversal of 76688934400 is 443988667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76688934401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64036 + ... + 396835.

Almost surely, 2^76688934400 is an apocalyptic number.

It is an amenable number.

76688934400 is an abundant number, since it is smaller than the sum of its proper divisors (127929937904).

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

76688934400 is a wasteful number, since it uses less digits than its factorization.

76688934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460912 (or 460891 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 76688934400 in words is "seventy-six billion, six hundred eighty-eight million, nine hundred thirty-four thousand, four hundred".