76793080320 has 800 divisors, whose sum is σ = 303519877056. Its totient is φ = 18402508800.

The previous prime is 76793080313. The next prime is 76793080373. The reversal of 76793080320 is 2308039767.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 298805632 + ... + 298805888.

Almost surely, 2^76793080320 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 76793080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151759938528).

76793080320 is an abundant number, since it is smaller than the sum of its proper divisors (226726796736).

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

76793080320 is a wasteful number, since it uses less digits than its factorization.

76793080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 76793080320 in words is "seventy-six billion, seven hundred ninety-three million, eighty thousand, three hundred twenty".