77664704 has 112 divisors (see below), whose sum is σ = 185623200. Its totient is φ = 31961088.

The previous prime is 77664679. The next prime is 77664731. The reversal of 77664704 is 40746677.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4087607 + ... + 4087625.

It is an arithmetic number, because the mean of its divisors is an integer number (1657350).

Almost surely, 2^77664704 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 77664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92811600).

77664704 is an abundant number, since it is smaller than the sum of its proper divisors (107958496).

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

77664704 is a wasteful number, since it uses less digits than its factorization.

77664704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The square root of 77664704 is about 8812.7580245914. The cubic root of 77664704 is about 426.6527643040.

The spelling of 77664704 in words is "seventy-seven million, six hundred sixty-four thousand, seven hundred four".