775264 has 24 divisors (see below), whose sum is σ = 1744848. Its totient is φ = 332160.

The previous prime is 775259. The next prime is 775267. The reversal of 775264 is 462577.

775264 = 77² + 78² + ... + 140².

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775267) 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, 1507 + ... + 1954.

It is an arithmetic number, because the mean of its divisors is an integer number (72702).

2⁷⁷⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

775264 is an abundant number, since it is smaller than the sum of its proper divisors (969584).

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

775264 is a wasteful number, since it uses less digits than its factorization.

775264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3470 counting only the distinct ones).

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

The square root of 775264 is about 880.4907722401. The cubic root of 775264 is about 91.8649562501.

The spelling of 775264 in words is "seven hundred seventy-five thousand, two hundred sixty-four".