76331808 has 180 divisors, whose sum is σ = 261575622. Its totient is φ = 21772800.

The previous prime is 76331803. The next prime is 76331821. The reversal of 76331808 is 80813367.

76331808 is a `hidden beast` number, since 7 + 633 + 18 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53406864 + 22924944 = 7308^2 + 4788^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76331803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126708 + ... + 127308.

Almost surely, 2^76331808 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 76331808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130787811).

76331808 is an abundant number, since it is smaller than the sum of its proper divisors (185243814).

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

76331808 is a wasteful number, since it uses less digits than its factorization.

76331808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 76331808 is about 8736.8076549733. The cubic root of 76331808 is about 424.1979021561.

The spelling of 76331808 in words is "seventy-six million, three hundred thirty-one thousand, eight hundred eight".