76475025 has 81 divisors (see below), whose sum is σ = 153453937. Its totient is φ = 36379200.

The previous prime is 76475017. The next prime is 76475053. The reversal of 76475025 is 52057467.

The square root of 76475025 is 8745.

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

76475025 is a `hidden beast` number, since 7 + 647 + 5 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576081 + 75898944 = 759^2 + 8712^2 .

It is not a de Polignac number, because 76475025 - 2³ = 76475017 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 1442899 + ... + 1442951.

Almost surely, 2^76475025 is an apocalyptic number.

76475025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76475025 is the 8745-th square number.

76475025 is the 4373-rd centered octagonal number.

It is an amenable number.

76475025 is an abundant number, since it is smaller than the sum of its proper divisors (76978912).

76475025 is a wasteful number, since it uses less digits than its factorization.

76475025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The cubic root of 76475025 is about 424.4630358171.

Multiplying 76475025 by its sum of digits (36), we get a square (2753100900 = 52470²).

The spelling of 76475025 in words is "seventy-six million, four hundred seventy-five thousand, twenty-five".