77504364 has 84 divisors (see below), whose sum is σ = 232467984. Its totient is φ = 22138272.

The previous prime is 77504353. The next prime is 77504387. The reversal of 77504364 is 46340577.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18514 + ... + 22310.

It is an arithmetic number, because the mean of its divisors is an integer number (2767476).

Almost surely, 2^77504364 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 77504364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116233992).

77504364 is an abundant number, since it is smaller than the sum of its proper divisors (154963620).

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

77504364 is a wasteful number, since it uses less digits than its factorization.

77504364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 77504364 is about 8803.6562858849. The cubic root of 77504364 is about 426.3589515753.

The spelling of 77504364 in words is "seventy-seven million, five hundred four thousand, three hundred sixty-four".