800032580 has 48 divisors (see below), whose sum is σ = 1795602816. Its totient is φ = 298360320.

The previous prime is 800032573. The next prime is 800032613. The reversal of 800032580 is 85230008.

It is a super-2 number, since 2×800032580² = 1280104258122912800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25385 + ... + 47375.

It is an arithmetic number, because the mean of its divisors is an integer number (37408392).

Almost surely, 2^800032580 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 800032580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897801408).

800032580 is an abundant number, since it is smaller than the sum of its proper divisors (995570236).

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

800032580 is a wasteful number, since it uses less digits than its factorization.

800032580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22124 (or 22122 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 800032580 is about 28284.8471800715. The cubic root of 800032580 is about 928.3303684652.

Adding to 800032580 its reverse (85230008), we get a palindrome (885262588).

The spelling of 800032580 in words is "eight hundred million, thirty-two thousand, five hundred eighty".