808200 has 72 divisors (see below), whose sum is σ = 2720250. Its totient is φ = 215040.

The previous prime is 808187. The next prime is 808211. The reversal of 808200 is 2808.

It is a Cunningham number, because it is equal to 899²-1.

It can be written as a sum of positive squares in 3 ways, for example, as 636804 + 171396 = 798^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 808200.

It is an unprimeable number.

808200 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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1576 + ... + 2024.

2⁸⁰⁸²⁰⁰ 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 808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360125).

808200 is an abundant number, since it is smaller than the sum of its proper divisors (1912050).

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

808200 is a wasteful number, since it uses less digits than its factorization.

808200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 808200 is about 898.9994438263. Note that the first 3 decimals coincide. The cubic root of 808200 is about 93.1478743563.

The spelling of 808200 in words is "eight hundred eight thousand, two hundred".