76279642790400 has 7680 divisors, whose sum is σ = 381583805644800. Its totient is φ = 14504715878400.

The previous prime is 76279642790357. The next prime is 76279642790441. The reversal of 76279642790400 is 409724697267.

76279642790400 is a `hidden beast` number, since 7 + 62 + 7 + 9 + 64 + 27 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1138502131167 + ... + 1138502131233.

It is an arithmetic number, because the mean of its divisors is an integer number (49685391360).

Almost surely, 2^{76279642790400} is an apocalyptic number.

76279642790400 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 76279642790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190791902822400).

76279642790400 is an abundant number, since it is smaller than the sum of its proper divisors (305304162854400).

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

76279642790400 is a wasteful number, since it uses less digits than its factorization.

76279642790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 76279642790400 in words is "seventy-six trillion, two hundred seventy-nine billion, six hundred forty-two million, seven hundred ninety thousand, four hundred".