716900625 has 225 divisors, whose sum is σ = 1653672999. Its totient is φ = 308448000.

The previous prime is 716900617. The next prime is 716900651. The reversal of 716900625 is 526009617.

The square root of 716900625 is 26775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 350101521 + 366799104 = 18711^2 + 19152^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 716900625 - 2³ = 716900617 is a prime.

It is a super-2 number, since 2×716900625² = 1027893012250781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 716900625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 42170617 + ... + 42170633.

Almost surely, 2^716900625 is an apocalyptic number.

716900625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

716900625 is the 26775-th square number.

716900625 is the 13388-th centered octagonal number.

It is an amenable number.

716900625 is an abundant number, since it is smaller than the sum of its proper divisors (936772374).

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

716900625 is an equidigital number, since it uses as much as digits as its factorization.

716900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 716900625 is about 894.9930297097.

Multiplying 716900625 by its sum of digits (36), we get a square (25808422500 = 160650²).

The spelling of 716900625 in words is "seven hundred sixteen million, nine hundred thousand, six hundred twenty-five".