812401028768 has 144 divisors (see below), whose sum is σ = 1888327062720. Its totient is φ = 342984305664.

The previous prime is 812401028731. The next prime is 812401028771. The reversal of 812401028768 is 867820104218.

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, 105188555 + ... + 105196277.

It is an arithmetic number, because the mean of its divisors is an integer number (13113382380).

Almost surely, 2^812401028768 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 812401028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944163531360).

812401028768 is an abundant number, since it is smaller than the sum of its proper divisors (1075926033952).

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

812401028768 is a wasteful number, since it uses less digits than its factorization.

812401028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8739 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The spelling of 812401028768 in words is "eight hundred twelve billion, four hundred one million, twenty-eight thousand, seven hundred sixty-eight".