76799846400 has 432 divisors, whose sum is σ = 264159342720. Its totient is φ = 19663257600.

The previous prime is 76799846267. The next prime is 76799846429. The reversal of 76799846400 is 464899767.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 604723137 + ... + 604723263.

It is an arithmetic number, because the mean of its divisors is an integer number (611479960).

Almost surely, 2^76799846400 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 76799846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132079671360).

76799846400 is an abundant number, since it is smaller than the sum of its proper divisors (187359496320).

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

76799846400 is a wasteful number, since it uses less digits than its factorization.

76799846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 76799846400 in words is "seventy-six billion, seven hundred ninety-nine million, eight hundred forty-six thousand, four hundred".