77664832 has 28 divisors (see below), whose sum is σ = 176133760. Its totient is φ = 33284736.

The previous prime is 77664803. The next prime is 77664863. The reversal of 77664832 is 23846677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×77664832² = 12063652259176448, which contains 22 as substring.

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, 86232 + ... + 87127.

Almost surely, 2^77664832 is an apocalyptic number.

It is an amenable number.

77664832 is an abundant number, since it is smaller than the sum of its proper divisors (98468928).

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

77664832 is a wasteful number, since it uses less digits than its factorization.

77664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173378 (or 173368 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 77664832 is about 8812.7652867871. The cubic root of 77664832 is about 426.6529986941.

The spelling of 77664832 in words is "seventy-seven million, six hundred sixty-four thousand, eight hundred thirty-two".