800973252 has 96 divisors (see below), whose sum is σ = 2184806400. Its totient is φ = 253272096.

The previous prime is 800973247. The next prime is 800973401. The reversal of 800973252 is 252379008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 314199 + ... + 316737.

It is an arithmetic number, because the mean of its divisors is an integer number (22758400).

Almost surely, 2^800973252 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 800973252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092403200).

800973252 is an abundant number, since it is smaller than the sum of its proper divisors (1383833148).

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

800973252 is a wasteful number, since it uses less digits than its factorization.

800973252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 800973252 is about 28301.4708451699. The cubic root of 800973252 is about 928.6940671338.

The spelling of 800973252 in words is "eight hundred million, nine hundred seventy-three thousand, two hundred fifty-two".