76920925704480 has 3456 divisors, whose sum is σ = 341218803744000. Its totient is φ = 16108189286400.

The previous prime is 76920925704439. The next prime is 76920925704517. The reversal of 76920925704480 is 8440752902967.

76920925704480 is a `hidden beast` number, since 7 + 69 + 2 + 0 + 9 + 25 + 70 + 4 + 480 = 666.

It is a super-2 number, since 2×76920925704480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 424977489990 + ... + 424977490170.

It is an arithmetic number, because the mean of its divisors is an integer number (98732292750).

Almost surely, 2^{76920925704480} 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 76920925704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170609401872000).

76920925704480 is an abundant number, since it is smaller than the sum of its proper divisors (264297878039520).

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

76920925704480 is a wasteful number, since it uses less digits than its factorization.

76920925704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 76920925704480 in words is "seventy-six trillion, nine hundred twenty billion, nine hundred twenty-five million, seven hundred four thousand, four hundred eighty".