76130826912 has 576 divisors, whose sum is σ = 281149989120. Its totient is φ = 19759251456.

The previous prime is 76130826911. The next prime is 76130826971. The reversal of 76130826912 is 21962803167.

76130826912 is a `hidden beast` number, since 7 + 613 + 0 + 8 + 26 + 9 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (76130826911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26833558 + ... + 26836394.

It is an arithmetic number, because the mean of its divisors is an integer number (488107620).

Almost surely, 2^76130826912 is an apocalyptic number.

76130826912 is a gapful number since it is divisible by the number (72) 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 76130826912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140574994560).

76130826912 is an abundant number, since it is smaller than the sum of its proper divisors (205019162208).

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

76130826912 is a wasteful number, since it uses less digits than its factorization.

76130826912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 76130826912 in words is "seventy-six billion, one hundred thirty million, eight hundred twenty-six thousand, nine hundred twelve".