800584272 has 120 divisors (see below), whose sum is σ = 2281353984. Its totient is φ = 262052352.

The previous prime is 800584241. The next prime is 800584283. The reversal of 800584272 is 272485008.

It is a happy number.

800584272 is a `hidden beast` number, since 8 + 0 + 0 + 584 + 2 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3435868 + ... + 3436100.

Almost surely, 2^800584272 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 800584272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140676992).

800584272 is an abundant number, since it is smaller than the sum of its proper divisors (1480769712).

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

800584272 is a wasteful number, since it uses less digits than its factorization.

800584272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 800584272 is about 28294.5979296402. The cubic root of 800584272 is about 928.5437075928.

The spelling of 800584272 in words is "eight hundred million, five hundred eighty-four thousand, two hundred seventy-two".