809880 has 64 divisors (see below), whose sum is σ = 2579040. Its totient is φ = 202752.

The previous prime is 809869. The next prime is 809891. The reversal of 809880 is 88908.

809880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (809869) and next prime (809891).

It is a super-2 number, since 2×809880² = 1311811228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1842 + ... + 2238.

2⁸⁰⁹⁸⁸⁰ 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 809880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289520).

809880 is an abundant number, since it is smaller than the sum of its proper divisors (1769160).

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

809880 is a wasteful number, since it uses less digits than its factorization.

809880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 809880 is about 899.9333308640. The cubic root of 809880 is about 93.2123716439.

The spelling of 809880 in words is "eight hundred nine thousand, eight hundred eighty".