77700564 has 36 divisors (see below), whose sum is σ = 197215200. Its totient is φ = 25794000.

The previous prime is 77700517. The next prime is 77700577. The reversal of 77700564 is 46500777.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4737 + ... + 13335.

It is an arithmetic number, because the mean of its divisors is an integer number (5478200).

Almost surely, 2^77700564 is an apocalyptic number.

It is an amenable number.

77700564 is an abundant number, since it is smaller than the sum of its proper divisors (119514636).

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

77700564 is a wasteful number, since it uses less digits than its factorization.

77700564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 77700564 is about 8814.7923401519. The cubic root of 77700564 is about 426.7184201002.

The spelling of 77700564 in words is "seventy-seven million, seven hundred thousand, five hundred sixty-four".