77934720 has 64 divisors (see below), whose sum is σ = 248423040. Its totient is φ = 20782080.

The previous prime is 77934707. The next prime is 77934721. The reversal of 77934720 is 2743977.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (77934721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18376 + ... + 22215.

It is an arithmetic number, because the mean of its divisors is an integer number (3881610).

Almost surely, 2^77934720 is an apocalyptic number.

It is an amenable number.

77934720 is an abundant number, since it is smaller than the sum of its proper divisors (170488320).

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

77934720 is a wasteful number, since it uses less digits than its factorization.

77934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40613 (or 40601 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 77934720 is about 8828.0643404996. The cubic root of 77934720 is about 427.1466386799.

The spelling of 77934720 in words is "seventy-seven million, nine hundred thirty-four thousand, seven hundred twenty".