76107340800 has 990 divisors, whose sum is σ = 301726358912. Its totient is φ = 18951045120.

The previous prime is 76107340789. The next prime is 76107340831. The reversal of 76107340800 is 804370167.

76107340800 is a `hidden beast` number, since 7 + 610 + 7 + 34 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 599270337 + ... + 599270463.

Almost surely, 2^76107340800 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 76107340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150863179456).

76107340800 is an abundant number, since it is smaller than the sum of its proper divisors (225619018112).

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

76107340800 is a wasteful number, since it uses less digits than its factorization.

76107340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 76107340800 in words is "seventy-six billion, one hundred seven million, three hundred forty thousand, eight hundred".