76926927974400 has 1404 divisors, whose sum is σ = 321450810547152. Its totient is φ = 17532317859840.

The previous prime is 76926927974389. The next prime is 76926927974443. The reversal of 76926927974400 is 447972962967.

76926927974400 is a `hidden beast` number, since 7 + 6 + 9 + 2 + 6 + 92 + 7 + 97 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16844080917 + ... + 16844085483.

Almost surely, 2^{76926927974400} is an apocalyptic number.

76926927974400 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 76926927974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160725405273576).

76926927974400 is an abundant number, since it is smaller than the sum of its proper divisors (244523882572752).

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

76926927974400 is a wasteful number, since it uses less digits than its factorization.

76926927974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 76926927974400 in words is "seventy-six trillion, nine hundred twenty-six billion, nine hundred twenty-seven million, nine hundred seventy-four thousand, four hundred".