76600944 has 160 divisors (see below), whose sum is σ = 255459840. Its totient is φ = 21523968.

The previous prime is 76600943. The next prime is 76600961. The reversal of 76600944 is 44900667.

76600944 is a `hidden beast` number, since 7 + 6 + 600 + 9 + 44 = 666.

It is a super-2 number, since 2×76600944² = 11735409243382272, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 76600899 and 76600908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76600943) 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 31 ways as a sum of consecutive naturals, for example, 220579 + ... + 220925.

It is an arithmetic number, because the mean of its divisors is an integer number (1596624).

Almost surely, 2^76600944 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 76600944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127729920).

76600944 is an abundant number, since it is smaller than the sum of its proper divisors (178858896).

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

76600944 is a wasteful number, since it uses less digits than its factorization.

76600944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76600944 is about 8752.1965243018. The cubic root of 76600944 is about 424.6958728473.

The spelling of 76600944 in words is "seventy-six million, six hundred thousand, nine hundred forty-four".