800570120 has 128 divisors (see below), whose sum is σ = 2201126400. Its totient is φ = 255799296.

The previous prime is 800570117. The next prime is 800570153. The reversal of 800570120 is 21075008.

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, 518069 + ... + 519611.

It is an arithmetic number, because the mean of its divisors is an integer number (17196300).

Almost surely, 2^800570120 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 800570120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100563200).

800570120 is an abundant number, since it is smaller than the sum of its proper divisors (1400556280).

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

800570120 is a wasteful number, since it uses less digits than its factorization.

800570120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 800570120 is about 28294.3478454620. The cubic root of 800570120 is about 928.5382362438.

It can be divided in two parts, 8005 and 70120, that added together give a 7-th power (78125 = 5⁷).

The spelling of 800570120 in words is "eight hundred million, five hundred seventy thousand, one hundred twenty".