800580 has 48 divisors (see below), whose sum is σ = 2447424. Its totient is φ = 193920.

The previous prime is 800573. The next prime is 800587. The reversal of 800580 is 85008.

It is an interprime number because it is at equal distance from previous prime (800573) and next prime (800587).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (800587) by changing a digit.

800580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (50988).

2⁸⁰⁰⁵⁸⁰ 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 800580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223712).

800580 is an abundant number, since it is smaller than the sum of its proper divisors (1646844).

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

800580 is a wasteful number, since it uses less digits than its factorization.

800580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 800580 is about 894.7513621113. The cubic root of 800580 is about 92.8542055988.

Adding to 800580 its reverse (85008), we get a palindrome (885588).

The spelling of 800580 in words is "eight hundred thousand, five hundred eighty".