808820 has 24 divisors (see below), whose sum is σ = 1746024. Its totient is φ = 314496.

The previous prime is 808793. The next prime is 808837. The reversal of 808820 is 28808.

It can be written as a sum of positive squares in 4 ways, for example, as 481636 + 327184 = 694^2 + 572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 808820.

It is a congruent number.

It is an unprimeable number.

808820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (72751).

2⁸⁰⁸⁸²⁰ 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 808820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873012).

808820 is an abundant number, since it is smaller than the sum of its proper divisors (937204).

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

808820 is a wasteful number, since it uses less digits than its factorization.

808820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 808820 is about 899.3442055187. The cubic root of 808820 is about 93.1716873236.

It can be divided in two parts, 80 and 8820, that multiplied together give a square (705600 = 840²).

The spelling of 808820 in words is "eight hundred eight thousand, eight hundred twenty".