765905625 has 105 divisors (see below), whose sum is σ = 1470809659. Its totient is φ = 398520000.

The previous prime is 765905611. The next prime is 765905627. The reversal of 765905625 is 526509567.

The square root of 765905625 is 27675.

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

765905625 is a `hidden beast` number, since 7 + 6 + 590 + 56 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 762919641 + 2985984 = 27621^2 + 1728^2 .

It is not a de Polignac number, because 765905625 - 2⁵ = 765905593 is a prime.

It is a super-2 number, since 2×765905625² = 1173222852813281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (765905627) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 18680605 + ... + 18680645.

Almost surely, 2^765905625 is an apocalyptic number.

765905625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

765905625 is the 27675-th square number.

765905625 is the 13838-th centered octagonal number.

It is an amenable number.

765905625 is a deficient number, since it is larger than the sum of its proper divisors (704904034).

765905625 is an frugal number, since it uses more digits than its factorization.

765905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The cubic root of 765905625 is about 914.9381844829.

It can be divided in two parts, 76590 and 5625, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 765905625 in words is "seven hundred sixty-five million, nine hundred five thousand, six hundred twenty-five".