800561160 has 192 divisors, whose sum is σ = 3002313600. Its totient is φ = 181214208.

The previous prime is 800561123. The next prime is 800561173. The reversal of 800561160 is 61165008.

800561160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268156 + ... + 271124.

It is an arithmetic number, because the mean of its divisors is an integer number (15637050).

Almost surely, 2^800561160 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 800561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501156800).

800561160 is an abundant number, since it is smaller than the sum of its proper divisors (2201752440).

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

800561160 is a wasteful number, since it uses less digits than its factorization.

800561160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 800561160 is about 28294.1895095088. The cubic root of 800561160 is about 928.5347721568.

The spelling of 800561160 in words is "eight hundred million, five hundred sixty-one thousand, one hundred sixty".