800872992 has 144 divisors (see below), whose sum is σ = 2477186712. Its totient is φ = 244408320.

The previous prime is 800872991. The next prime is 800873011. The reversal of 800872992 is 299278008.

800872992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 779749776 + 21123216 = 27924^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (800872991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178942 + ... + 183362.

Almost surely, 2^800872992 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 800872992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238593356).

800872992 is an abundant number, since it is smaller than the sum of its proper divisors (1676313720).

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

800872992 is a wasteful number, since it uses less digits than its factorization.

800872992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 800872992 is about 28299.6995037050. The cubic root of 800872992 is about 928.6553164630.

The spelling of 800872992 in words is "eight hundred million, eight hundred seventy-two thousand, nine hundred ninety-two".