800803920 has 160 divisors (see below), whose sum is σ = 2871816192. Its totient is φ = 180804096.

The previous prime is 800803919. The next prime is 800803937. The reversal of 800803920 is 29308008.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 136569 + ... + 142311.

Almost surely, 2^800803920 is an apocalyptic number.

800803920 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 800803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435908096).

800803920 is an abundant number, since it is smaller than the sum of its proper divisors (2071012272).

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

800803920 is a wasteful number, since it uses less digits than its factorization.

800803920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 800803920 is about 28298.4791110759. The cubic root of 800803920 is about 928.6286181289.

The spelling of 800803920 in words is "eight hundred million, eight hundred three thousand, nine hundred twenty".