76270876416 has 432 divisors, whose sum is σ = 260958297600. Its totient is φ = 20971560960.

The previous prime is 76270876393. The next prime is 76270876427. The reversal of 76270876416 is 61467807267.

76270876416 is a `hidden beast` number, since 7 + 627 + 0 + 8 + 7 + 6 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49238010 + ... + 49239558.

Almost surely, 2^76270876416 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 76270876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130479148800).

76270876416 is an abundant number, since it is smaller than the sum of its proper divisors (184687421184).

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

76270876416 is a wasteful number, since it uses less digits than its factorization.

76270876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 76270876416 in words is "seventy-six billion, two hundred seventy million, eight hundred seventy-six thousand, four hundred sixteen".