76700928240 has 480 divisors, whose sum is σ = 282569414400. Its totient is φ = 19281991680.

The previous prime is 76700928229. The next prime is 76700928263. The reversal of 76700928240 is 4282900767.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103789791 + ... + 103790529.

It is an arithmetic number, because the mean of its divisors is an integer number (588686280).

Almost surely, 2^76700928240 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 76700928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141284707200).

76700928240 is an abundant number, since it is smaller than the sum of its proper divisors (205868486160).

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

76700928240 is a wasteful number, since it uses less digits than its factorization.

76700928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 76700928240 in words is "seventy-six billion, seven hundred million, nine hundred twenty-eight thousand, two hundred forty".