800159819520 has 288 divisors, whose sum is σ = 2576498137920. Its totient is φ = 211628851200.

The previous prime is 800159819507. The next prime is 800159819597. The reversal of 800159819520 is 25918951008.

800159819520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 800159819520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499786720 + ... + 499788320.

It is an arithmetic number, because the mean of its divisors is an integer number (8946174090).

Almost surely, 2^800159819520 is an apocalyptic number.

800159819520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800159819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288249068960).

800159819520 is an abundant number, since it is smaller than the sum of its proper divisors (1776338318400).

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

800159819520 is a wasteful number, since it uses less digits than its factorization.

800159819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The spelling of 800159819520 in words is "eight hundred billion, one hundred fifty-nine million, eight hundred nineteen thousand, five hundred twenty".