808680 has 64 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 205568.

The previous prime is 808679. The next prime is 808681. The reversal of 808680 is 86808.

808680 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 (808679) and next prime (808681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2614 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁸⁰⁸⁶⁸⁰ 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 808680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

808680 is an abundant number, since it is smaller than the sum of its proper divisors (1731480).

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

808680 is a wasteful number, since it uses less digits than its factorization.

808680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 808680 is about 899.2663676575. The cubic root of 808680 is about 93.1663112659.

The spelling of 808680 in words is "eight hundred eight thousand, six hundred eighty".