800828816192 has 112 divisors (see below), whose sum is σ = 1630448352000. Its totient is φ = 390121205760.

The previous prime is 800828816173. The next prime is 800828816213. The reversal of 800828816192 is 291618828008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513680309 + ... + 513681867.

Almost surely, 2^800828816192 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 800828816192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815224176000).

800828816192 is an abundant number, since it is smaller than the sum of its proper divisors (829619535808).

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

800828816192 is a wasteful number, since it uses less digits than its factorization.

800828816192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 53.

The spelling of 800828816192 in words is "eight hundred billion, eight hundred twenty-eight million, eight hundred sixteen thousand, one hundred ninety-two".