77964032 has 36 divisors (see below), whose sum is σ = 159848976. Its totient is φ = 37923840.

The previous prime is 77963999. The next prime is 77964037. The reversal of 77964032 is 23046977.

It is not an unprimeable number, because it can be changed into a prime (77964037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5357 + ... + 13587.

Almost surely, 2^77964032 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 77964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79924488).

77964032 is an abundant number, since it is smaller than the sum of its proper divisors (81884944).

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

77964032 is an equidigital number, since it uses as much as digits as its factorization.

77964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 77964032 is about 8829.7243445082. The cubic root of 77964032 is about 427.2001832914.

The spelling of 77964032 in words is "seventy-seven million, nine hundred sixty-four thousand, thirty-two".