769785025 has 27 divisors (see below), whose sum is σ = 991859043. Its totient is φ = 592633200.

The previous prime is 769785013. The next prime is 769785031. The reversal of 769785025 is 520587967.

The square root of 769785025 is 27745.

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., 277122609 + 492662416 = 16647^2 + 22196^2 .

It is not a de Polignac number, because 769785025 - 2⁵ = 769784993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 769785025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4300386 + ... + 4300564.

Almost surely, 2^769785025 is an apocalyptic number.

769785025 is the 27745-th square number.

769785025 is the 13873-rd centered octagonal number.

It is an amenable number.

769785025 is a deficient number, since it is larger than the sum of its proper divisors (222074018).

769785025 is an equidigital number, since it uses as much as digits as its factorization.

769785025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The cubic root of 769785025 is about 916.4803393553.

Multiplying 769785025 by its sum of digits (49), we get a square (37719466225 = 194215²).

The spelling of 769785025 in words is "seven hundred sixty-nine million, seven hundred eighty-five thousand, twenty-five".