77431968 has 36 divisors (see below), whose sum is σ = 220197978. Its totient is φ = 25810560.

The previous prime is 77431951. The next prime is 77431979. The reversal of 77431968 is 86913477.

It can be written as a sum of positive squares in only one way, i.e., 68359824 + 9072144 = 8268^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134143 + ... + 134718.

Almost surely, 2^77431968 is an apocalyptic number.

It is an amenable number.

77431968 is an abundant number, since it is smaller than the sum of its proper divisors (142766010).

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

77431968 is a wasteful number, since it uses less digits than its factorization.

77431968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268877 (or 268866 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77431968 is about 8799.5436245296. The cubic root of 77431968 is about 426.2261577695.

The spelling of 77431968 in words is "seventy-seven million, four hundred thirty-one thousand, nine hundred sixty-eight".