76395924 has 72 divisors (see below), whose sum is σ = 212826432. Its totient is φ = 22913280.

The previous prime is 76395919. The next prime is 76395931. The reversal of 76395924 is 42959367.

It is a happy number.

76395924 is a `hidden beast` number, since 7 + 639 + 5 + 9 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76395924.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 39852 + ... + 41724.

Almost surely, 2^76395924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76395924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106413216).

76395924 is an abundant number, since it is smaller than the sum of its proper divisors (136430508).

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

76395924 is a wasteful number, since it uses less digits than its factorization.

76395924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1992 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 76395924 is about 8740.4761884007. The cubic root of 76395924 is about 424.3166392937.

The spelling of 76395924 in words is "seventy-six million, three hundred ninety-five thousand, nine hundred twenty-four".