76132990080 has 384 divisors, whose sum is σ = 310818643200. Its totient is φ = 16801505280.

The previous prime is 76132990061. The next prime is 76132990121. The reversal of 76132990080 is 8009923167.

76132990080 is a `hidden beast` number, since 7 + 613 + 29 + 9 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136725 + ... + 1201835.

It is an arithmetic number, because the mean of its divisors is an integer number (809423550).

Almost surely, 2^76132990080 is an apocalyptic number.

76132990080 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 76132990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409321600).

76132990080 is an abundant number, since it is smaller than the sum of its proper divisors (234685653120).

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

76132990080 is a wasteful number, since it uses less digits than its factorization.

76132990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65172 (or 65157 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 76132990080 in words is "seventy-six billion, one hundred thirty-two million, nine hundred ninety thousand, eighty".