76306876320 has 192 divisors, whose sum is σ = 246374908416. Its totient is φ = 19843031040.

The previous prime is 76306876319. The next prime is 76306876357. The reversal of 76306876320 is 2367860367.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76306876320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6333342 + ... + 6345378.

It is an arithmetic number, because the mean of its divisors is an integer number (1283202648).

Almost surely, 2^76306876320 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 76306876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123187454208).

76306876320 is an abundant number, since it is smaller than the sum of its proper divisors (170068032096).

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

76306876320 is a wasteful number, since it uses less digits than its factorization.

76306876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12383 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 76306876320 in words is "seventy-six billion, three hundred six million, eight hundred seventy-six thousand, three hundred twenty".