76720502784 has 192 divisors, whose sum is σ = 217087153920. Its totient is φ = 24011735040.

The previous prime is 76720502779. The next prime is 76720502879. The reversal of 76720502784 is 48720502767.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 15 ways as a sum of consecutive naturals, for example, 72173037 + ... + 72174099.

It is an arithmetic number, because the mean of its divisors is an integer number (1130662260).

Almost surely, 2^76720502784 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 76720502784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108543576960).

76720502784 is an abundant number, since it is smaller than the sum of its proper divisors (140366651136).

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

76720502784 is a wasteful number, since it uses less digits than its factorization.

76720502784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 76720502784 in words is "seventy-six billion, seven hundred twenty million, five hundred two thousand, seven hundred eighty-four".