76886392320 has 600 divisors, whose sum is σ = 292762639224. Its totient is φ = 19281936384.

The previous prime is 76886392279. The next prime is 76886392333. The reversal of 76886392320 is 2329368867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59926399 + ... + 59927681.

Almost surely, 2^76886392320 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 76886392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146381319612).

76886392320 is an abundant number, since it is smaller than the sum of its proper divisors (215876246904).

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

76886392320 is a wasteful number, since it uses less digits than its factorization.

76886392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 76886392320 in words is "seventy-six billion, eight hundred eighty-six million, three hundred ninety-two thousand, three hundred twenty".