800970312 has 128 divisors (see below), whose sum is σ = 2139955200. Its totient is φ = 249446400.

The previous prime is 800970307. The next prime is 800970337. The reversal of 800970312 is 213079008.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 800970312.

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, 3116488 + ... + 3116744.

It is an arithmetic number, because the mean of its divisors is an integer number (16718400).

Almost surely, 2^800970312 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 800970312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069977600).

800970312 is an abundant number, since it is smaller than the sum of its proper divisors (1338984888).

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

800970312 is a wasteful number, since it uses less digits than its factorization.

800970312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 800970312 is about 28301.4189043588. The cubic root of 800970312 is about 928.6929308645.

The spelling of 800970312 in words is "eight hundred million, nine hundred seventy thousand, three hundred twelve".