77688832 has 52 divisors (see below), whose sum is σ = 167424040. Its totient is φ = 35831808.

The previous prime is 77688803. The next prime is 77688841. The reversal of 77688832 is 23888677.

It is a tau number, because it is divible by the number of its divisors (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52519 + ... + 53977.

Almost surely, 2^77688832 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 77688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83712020).

77688832 is an abundant number, since it is smaller than the sum of its proper divisors (89735208).

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

77688832 is a wasteful number, since it uses less digits than its factorization.

77688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1474 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 77688832 is about 8814.1268427451. The cubic root of 77688832 is about 426.6969422961.

The spelling of 77688832 in words is "seventy-seven million, six hundred eighty-eight thousand, eight hundred thirty-two".