772488 has 24 divisors (see below), whose sum is σ = 2092350. Its totient is φ = 257472.

The previous prime is 772477. The next prime is 772493. The reversal of 772488 is 884277.

It can be written as a sum of positive squares in only one way, i.e., 580644 + 191844 = 762^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772488.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5293 + ... + 5436.

2⁷⁷²⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

772488 is an abundant number, since it is smaller than the sum of its proper divisors (1319862).

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

772488 is a wasteful number, since it uses less digits than its factorization.

772488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10734 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 772488 is about 878.9129649743. The cubic root of 772488 is about 91.7551776857.

The spelling of 772488 in words is "seven hundred seventy-two thousand, four hundred eighty-eight".