76750819441920 has 864 divisors, whose sum is σ = 290075672420352. Its totient is φ = 18623637946368.

The previous prime is 76750819441909. The next prime is 76750819441949. The reversal of 76750819441920 is 2914491805767.

76750819441920 is a `hidden beast` number, since 7 + 6 + 7 + 5 + 0 + 8 + 194 + 419 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2986051789 + ... + 2986077491.

It is an arithmetic number, because the mean of its divisors is an integer number (335735731968).

Almost surely, 2^{76750819441920} 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 76750819441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145037836210176).

76750819441920 is an abundant number, since it is smaller than the sum of its proper divisors (213324852978432).

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

76750819441920 is a wasteful number, since it uses less digits than its factorization.

76750819441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26027 (or 26010 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 76750819441920 in words is "seventy-six trillion, seven hundred fifty billion, eight hundred nineteen million, four hundred forty-one thousand, nine hundred twenty".