831200 has 36 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 332160.

The previous prime is 831191. The next prime is 831217. The reversal of 831200 is 2138.

831200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 831200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2⁸³¹²⁰⁰ is an apocalyptic number.

831200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

831200 is an abundant number, since it is smaller than the sum of its proper divisors (1199920).

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

831200 is a wasteful number, since it uses less digits than its factorization.

831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 831200 is about 911.7017056033. The cubic root of 831200 is about 94.0232325252.

Adding to 831200 its reverse (2138), we get a palindrome (833338).

The spelling of 831200 in words is "eight hundred thirty-one thousand, two hundred".