77313564 has 18 divisors (see below), whose sum is σ = 195431600. Its totient is φ = 25771176.

The previous prime is 77313547. The next prime is 77313589. The reversal of 77313564 is 46531377.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2147599 = 77313564 / (7 + 7 + 3 + 1 + 3 + 5 + 6 + 4).

It is a congruent number.

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, 1073764 + ... + 1073835.

Almost surely, 2^77313564 is an apocalyptic number.

It is an amenable number.

77313564 is an abundant number, since it is smaller than the sum of its proper divisors (118118036).

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

77313564 is a wasteful number, since it uses less digits than its factorization.

77313564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147609 (or 2147604 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 77313564 is about 8792.8132017006. The cubic root of 77313564 is about 426.0087943698.

It can be divided in two parts, 77313 and 564, that added together give a palindrome (77877).

The spelling of 77313564 in words is "seventy-seven million, three hundred thirteen thousand, five hundred sixty-four".