77028832 has 24 divisors (see below), whose sum is σ = 155351952. Its totient is φ = 37574400.

The previous prime is 77028829. The next prime is 77028851. The reversal of 77028832 is 23882077.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77028791 and 77028800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28044 + ... + 30667.

It is an arithmetic number, because the mean of its divisors is an integer number (6472998).

Almost surely, 2^77028832 is an apocalyptic number.

It is an amenable number.

77028832 is an abundant number, since it is smaller than the sum of its proper divisors (78323120).

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

77028832 is a wasteful number, since it uses less digits than its factorization.

77028832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58762 (or 58754 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 77028832 is about 8776.6070893028. The cubic root of 77028832 is about 425.4851797031.

The spelling of 77028832 in words is "seventy-seven million, twenty-eight thousand, eight hundred thirty-two".