77564 has 6 divisors (see below), whose sum is σ = 135744. Its totient is φ = 38780.

The previous prime is 77563. The next prime is 77569. The reversal of 77564 is 46577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9692 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (22624).

2⁷⁷⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

77564 is a deficient number, since it is larger than the sum of its proper divisors (58180).

77564 is a wasteful number, since it uses less digits than its factorization.

77564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19395 (or 19393 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 77564 is about 278.5031418135. The cubic root of 77564 is about 42.6468277995.

The spelling of 77564 in words is "seventy-seven thousand, five hundred sixty-four".