800200 has 24 divisors (see below), whose sum is σ = 1860930. Its totient is φ = 320000.

The previous prime is 800171. The next prime is 800209. The reversal of 800200 is 2008.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 367236 + 432964 = 606^2 + 658^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800209) by changing a digit.

800200 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 5 ways as a sum of consecutive naturals, for example, 1801 + ... + 2200.

2⁸⁰⁰²⁰⁰ is an apocalyptic number.

It is an amenable number.

800200 is an abundant number, since it is smaller than the sum of its proper divisors (1060730).

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

800200 is a wasteful number, since it uses less digits than its factorization.

800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 800200 is about 894.5389874120. The cubic root of 800200 is about 92.8395120091.

Multiplying 800200 by its sum of digits (10), we get a triangular number (8002000 = T₄₀₀₀).

Adding to 800200 its reverse (2008), we get a palindrome (802208).

It can be divided in two parts, 800 and 200, that multiplied together give a 4-th power (160000 = 20⁴).

The spelling of 800200 in words is "eight hundred thousand, two hundred".