77506564 has 48 divisors (see below), whose sum is σ = 145995696. Its totient is φ = 35942400.

The previous prime is 77506501. The next prime is 77506571. The reversal of 77506564 is 46560577.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2822400 + 74684164 = 1680^2 + 8642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321484 + ... + 321724.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 2^77506564 is an apocalyptic number.

77506564 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

77506564 is a deficient number, since it is larger than the sum of its proper divisors (68489132).

77506564 is a wasteful number, since it uses less digits than its factorization.

77506564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 77506564 is about 8803.7812330839. The cubic root of 77506564 is about 426.3629856743.

It can be divided in two parts, 7750656 and 4, that multiplied together give a square (31002624 = 5568²).

The spelling of 77506564 in words is "seventy-seven million, five hundred six thousand, five hundred sixty-four".