816200 has 96 divisors (see below), whose sum is σ = 2410560. Its totient is φ = 249600.

The previous prime is 816191. The next prime is 816203. The reversal of 816200 is 2618.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 816200.

It is not an unprimeable number, because it can be changed into a prime (816203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15374 + ... + 15426.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁸¹⁶²⁰⁰ 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 816200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280).

816200 is an abundant number, since it is smaller than the sum of its proper divisors (1594360).

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

816200 is a wasteful number, since it uses less digits than its factorization.

816200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 816200 is about 903.4378783292. The cubic root of 816200 is about 93.4542084675.

Adding to 816200 its reverse (2618), we get a palindrome (818818).

It can be divided in two parts, 8 and 16200, that multiplied together give a square (129600 = 360²).

The spelling of 816200 in words is "eight hundred sixteen thousand, two hundred".