76906071150480 has 360 divisors, whose sum is σ = 305728120132344. Its totient is φ = 17209749934080.

The previous prime is 76906071150479. The next prime is 76906071150533. The reversal of 76906071150480 is 8405117060967.

76906071150480 is a `hidden beast` number, since 7 + 6 + 9 + 0 + 6 + 0 + 7 + 1 + 150 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11177628143616 + 65728443006864 = 3343296^2 + 8107308^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32819757 + ... + 35084876.

Almost surely, 2^{76906071150480} is an apocalyptic number.

It is an amenable number.

76906071150480 is an abundant number, since it is smaller than the sum of its proper divisors (228822048981864).

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

76906071150480 is a wasteful number, since it uses less digits than its factorization.

76906071150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67904687 (or 67904667 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 76906071150480 in words is "seventy-six trillion, nine hundred six billion, seventy-one million, one hundred fifty thousand, four hundred eighty".