800912772 has 120 divisors (see below), whose sum is σ = 2418625440. Its totient is φ = 228407040.

The previous prime is 800912753. The next prime is 800912773. The reversal of 800912772 is 277219008.

It is a super-2 number, since 2×800912772² = 1282922536705447968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (800912773) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53979 + ... + 67197.

It is an arithmetic number, because the mean of its divisors is an integer number (20155212).

Almost surely, 2^800912772 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 800912772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209312720).

800912772 is an abundant number, since it is smaller than the sum of its proper divisors (1617712668).

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

800912772 is a wasteful number, since it uses less digits than its factorization.

800912772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263 (or 13252 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 800912772 is about 28300.4023292956. The cubic root of 800912772 is about 928.6706918917.

The spelling of 800912772 in words is "eight hundred million, nine hundred twelve thousand, seven hundred seventy-two".