772364 has 12 divisors (see below), whose sum is σ = 1357944. Its totient is φ = 384384.

The previous prime is 772349. The next prime is 772367. The reversal of 772364 is 463277.

It is a super-2 number, since 2×772364² = 1193092296992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772364.

It is not an unprimeable number, because it can be changed into a prime (772367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1139 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (113162).

2⁷⁷²³⁶⁴ is an apocalyptic number.

It is an amenable number.

772364 is a deficient number, since it is larger than the sum of its proper divisors (585580).

772364 is a wasteful number, since it uses less digits than its factorization.

772364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its digits is 7056, while the sum is 29.

The square root of 772364 is about 878.8424204600. The cubic root of 772364 is about 91.7502679003.

The spelling of 772364 in words is "seven hundred seventy-two thousand, three hundred sixty-four".