76379625 has 128 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 33696000.

The previous prime is 76379603. The next prime is 76379651. The reversal of 76379625 is 52697367.

76379625 is a `hidden beast` number, since 7 + 637 + 9 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 76379625 - 2⁶ = 76379561 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1252095 + ... + 1252155.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^76379625 is an apocalyptic number.

76379625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76379625 is an abundant number, since it is smaller than the sum of its proper divisors (90752535).

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

76379625 is a wasteful number, since it uses less digits than its factorization.

76379625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 76379625 is about 8739.5437523935. The cubic root of 76379625 is about 424.2864612927.

The spelling of 76379625 in words is "seventy-six million, three hundred seventy-nine thousand, six hundred twenty-five".