76729867920 has 400 divisors, whose sum is σ = 271551994560. Its totient is φ = 20076622848.

The previous prime is 76729867909. The next prime is 76729867933. The reversal of 76729867920 is 2976892767.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96272962 + ... + 96273758.

Almost surely, 2^76729867920 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 76729867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135775997280).

76729867920 is an abundant number, since it is smaller than the sum of its proper divisors (194822126640).

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

76729867920 is a wasteful number, since it uses less digits than its factorization.

76729867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 76729867920 in words is "seventy-six billion, seven hundred twenty-nine million, eight hundred sixty-seven thousand, nine hundred twenty".