76105313856000 has 6720 divisors, whose sum is σ = 362463487914528. Its totient is φ = 15765995520000.

The previous prime is 76105313855999. The next prime is 76105313856007. The reversal of 76105313856000 is 65831350167.

76105313856000 is a `hidden beast` number, since 7 + 6 + 1 + 0 + 5 + 3 + 1 + 38 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21643039275264 + 54462274580736 = 4652208^2 + 7379856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76105313856007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1247628095970 + ... + 1247628096030.

Almost surely, 2^{76105313856000} 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 76105313856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181231743957264).

76105313856000 is an abundant number, since it is smaller than the sum of its proper divisors (286358174058528).

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

76105313856000 is a wasteful number, since it uses less digits than its factorization.

76105313856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 76105313856000 in words is "seventy-six trillion, one hundred five billion, three hundred thirteen million, eight hundred fifty-six thousand".