76760080790400 has 1920 divisors, whose sum is σ = 345700802304000. Its totient is φ = 16393350758400.

The previous prime is 76760080790389. The next prime is 76760080790441. The reversal of 76760080790400 is 409708006767.

76760080790400 is a `hidden beast` number, since 7 + 6 + 76 + 0 + 0 + 80 + 7 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×76760080790400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1631122071 + ... + 1631169129.

It is an arithmetic number, because the mean of its divisors is an integer number (180052501200).

Almost surely, 2^{76760080790400} is an apocalyptic number.

76760080790400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76760080790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172850401152000).

76760080790400 is an abundant number, since it is smaller than the sum of its proper divisors (268940721513600).

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

76760080790400 is a wasteful number, since it uses less digits than its factorization.

76760080790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47162 (or 47136 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 76760080790400 in words is "seventy-six trillion, seven hundred sixty billion, eighty million, seven hundred ninety thousand, four hundred".