77432960 has 128 divisors (see below), whose sum is σ = 214151040. Its totient is φ = 26460160.

The previous prime is 77432933. The next prime is 77433007. The reversal of 77432960 is 6923477.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119357 + ... + 120003.

It is an arithmetic number, because the mean of its divisors is an integer number (1673055).

Almost surely, 2^77432960 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 77432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107075520).

77432960 is an abundant number, since it is smaller than the sum of its proper divisors (136718080).

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

77432960 is a wasteful number, since it uses less digits than its factorization.

77432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

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

The square root of 77432960 is about 8799.5999909087. The cubic root of 77432960 is about 426.2279779245.

The spelling of 77432960 in words is "seventy-seven million, four hundred thirty-two thousand, nine hundred sixty".