77932880 has 20 divisors (see below), whose sum is σ = 181194132. Its totient is φ = 31173120.

The previous prime is 77932849. The next prime is 77932891. The reversal of 77932880 is 8823977.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34951744 + 42981136 = 5912^2 + 6556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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, 487001 + ... + 487160.

Almost surely, 2^77932880 is an apocalyptic number.

It is an amenable number.

77932880 is an abundant number, since it is smaller than the sum of its proper divisors (103261252).

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

77932880 is a wasteful number, since it uses less digits than its factorization.

77932880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974174 (or 974168 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 77932880 is about 8827.9601267790. The cubic root of 77932880 is about 427.1432770802.

The spelling of 77932880 in words is "seventy-seven million, nine hundred thirty-two thousand, eight hundred eighty".