76198710720 has 224 divisors, whose sum is σ = 270064016640. Its totient is φ = 18042716160.

The previous prime is 76198710697. The next prime is 76198710761. The reversal of 76198710720 is 2701789167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76198710720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370176 + ... + 537984.

Almost surely, 2^76198710720 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 76198710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135032008320).

76198710720 is an abundant number, since it is smaller than the sum of its proper divisors (193865305920).

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

76198710720 is a wasteful number, since it uses less digits than its factorization.

76198710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167883 (or 167873 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 48.

The spelling of 76198710720 in words is "seventy-six billion, one hundred ninety-eight million, seven hundred ten thousand, seven hundred twenty".