814200 has 96 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 204160.

The previous prime is 814199. The next prime is 814211. The reversal of 814200 is 2418.

814200 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 (15).

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 814200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13771 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁸¹⁴²⁰⁰ 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 814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

814200 is an abundant number, since it is smaller than the sum of its proper divisors (1864200).

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

814200 is a wasteful number, since it uses less digits than its factorization.

814200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 814200 is about 902.3303164584. The cubic root of 814200 is about 93.3778132659.

Adding to 814200 its reverse (2418), we get a palindrome (816618).

The spelling of 814200 in words is "eight hundred fourteen thousand, two hundred".