765628900 has 27 divisors (see below), whose sum is σ = 1662015369. Its totient is φ = 306140880.

The previous prime is 765628879. The next prime is 765628907. The reversal of 765628900 is 9826567.

The square root of 765628900 is 27670.

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., 275626404 + 490002496 = 16602^2 + 22136^2 .

It is a super-2 number, since 2×765628900² = 1172375225030420000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (765628907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 275317 + ... + 278083.

Almost surely, 2^765628900 is an apocalyptic number.

765628900 is the 27670-th square number.

It is an amenable number.

765628900 is an abundant number, since it is smaller than the sum of its proper divisors (896386469).

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

765628900 is an equidigital number, since it uses as much as digits as its factorization.

765628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 765628900 is about 914.8279808410.

The spelling of 765628900 in words is "seven hundred sixty-five million, six hundred twenty-eight thousand, nine hundred".