76821782928 has 120 divisors (see below), whose sum is σ = 220900444800. Its totient is φ = 22984515840.

The previous prime is 76821782887. The next prime is 76821782941. The reversal of 76821782928 is 82928712867.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375118 + ... + 542546.

It is an arithmetic number, because the mean of its divisors is an integer number (1840837040).

Almost surely, 2^76821782928 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 76821782928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110450222400).

76821782928 is an abundant number, since it is smaller than the sum of its proper divisors (144078661872).

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

76821782928 is a wasteful number, since it uses less digits than its factorization.

76821782928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167541 (or 167524 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The spelling of 76821782928 in words is "seventy-six billion, eight hundred twenty-one million, seven hundred eighty-two thousand, nine hundred twenty-eight".