772395264 has 135 divisors (see below), whose sum is σ = 2315138133. Its totient is φ = 256131072.

The previous prime is 772395259. The next prime is 772395271. The reversal of 772395264 is 462593277.

The square root of 772395264 is 27792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 187142400 + 585252864 = 13680^2 + 24192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4001952 + ... + 4002144.

Almost surely, 2^772395264 is an apocalyptic number.

772395264 is the 27792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772395264

772395264 is an abundant number, since it is smaller than the sum of its proper divisors (1542742869).

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

772395264 is an frugal number, since it uses more digits than its factorization.

772395264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 198 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The cubic root of 772395264 is about 917.5150584931.

The spelling of 772395264 in words is "seven hundred seventy-two million, three hundred ninety-five thousand, two hundred sixty-four".