802200 has 96 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 182400.

The previous prime is 802189. The next prime is 802231. The reversal of 802200 is 2208.

802200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

802200 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 23 ways as a sum of consecutive naturals, for example, 4105 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2⁸⁰²²⁰⁰ 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 802200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

802200 is an abundant number, since it is smaller than the sum of its proper divisors (2054760).

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

802200 is a wasteful number, since it uses less digits than its factorization.

802200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 802200 is about 895.6561840349. The cubic root of 802200 is about 92.9167945820.

Adding to 802200 its reverse (2208), we get a palindrome (804408).

The spelling of 802200 in words is "eight hundred two thousand, two hundred".