77685904 has 40 divisors (see below), whose sum is σ = 157757760. Its totient is φ = 36989568.

The previous prime is 77685871. The next prime is 77685911. The reversal of 77685904 is 40958677.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139194 + ... + 139750.

It is an arithmetic number, because the mean of its divisors is an integer number (3943944).

Almost surely, 2^77685904 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 77685904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78878880).

77685904 is an abundant number, since it is smaller than the sum of its proper divisors (80071856).

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

77685904 is a wasteful number, since it uses less digits than its factorization.

77685904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 77685904 is about 8813.9607441831. The cubic root of 77685904 is about 426.6915816614.

The spelling of 77685904 in words is "seventy-seven million, six hundred eighty-five thousand, nine hundred four".