772635264 has 64 divisors (see below), whose sum is σ = 2073570240. Its totient is φ = 254877696.

The previous prime is 772635263. The next prime is 772635287. The reversal of 772635264 is 462536277.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×772635264⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (772635263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26877 + ... + 47619.

It is an arithmetic number, because the mean of its divisors is an integer number (32399535).

Almost surely, 2^772635264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036785120).

772635264 is an abundant number, since it is smaller than the sum of its proper divisors (1300934976).

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

772635264 is a wasteful number, since it uses less digits than its factorization.

772635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20857 (or 20845 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 772635264 is about 27796.3174539362. The cubic root of 772635264 is about 917.6100792771.

The spelling of 772635264 in words is "seven hundred seventy-two million, six hundred thirty-five thousand, two hundred sixty-four".