772564 has 24 divisors (see below), whose sum is σ = 1481760. Its totient is φ = 350304.

The previous prime is 772537. The next prime is 772567. The reversal of 772564 is 465277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772567) 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 in 7 ways as a sum of consecutive naturals, for example, 4227 + ... + 4405.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

2⁷⁷²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

772564 is a deficient number, since it is larger than the sum of its proper divisors (709196).

772564 is a wasteful number, since it uses less digits than its factorization.

772564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its digits is 11760, while the sum is 31.

The square root of 772564 is about 878.9561991362. The cubic root of 772564 is about 91.7581866493.

The spelling of 772564 in words is "seven hundred seventy-two thousand, five hundred sixty-four".