77528832 has 108 divisors (see below), whose sum is σ = 217134120. Its totient is φ = 24528896.

The previous prime is 77528819. The next prime is 77528839. The reversal of 77528832 is 23882577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77528839) 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, 1314019 + ... + 1314077.

Almost surely, 2^77528832 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 77528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108567060).

77528832 is an abundant number, since it is smaller than the sum of its proper divisors (139605288).

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

77528832 is an equidigital number, since it uses as much as digits as its factorization.

77528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 93 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 77528832 is about 8805.0458261158. The cubic root of 77528832 is about 426.4038137942.

The spelling of 77528832 in words is "seventy-seven million, five hundred twenty-eight thousand, eight hundred thirty-two".