76996974600 has 1152 divisors, whose sum is σ = 348004512000. Its totient is φ = 15268331520.

The previous prime is 76996974577. The next prime is 76996974643. The reversal of 76996974600 is 647969967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108599046 + ... + 108599754.

It is an arithmetic number, because the mean of its divisors is an integer number (302087250).

Almost surely, 2^76996974600 is an apocalyptic number.

76996974600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76996974600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174002256000).

76996974600 is an abundant number, since it is smaller than the sum of its proper divisors (271007537400).

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

76996974600 is a wasteful number, since it uses less digits than its factorization.

76996974600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 76996974600 in words is "seventy-six billion, nine hundred ninety-six million, nine hundred seventy-four thousand, six hundred".