830200 has 48 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 284160.

The previous prime is 830191. The next prime is 830233. The reversal of 830200 is 2038.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 1696.

It is an arithmetic number, because the mean of its divisors is an integer number (46035).

2⁸³⁰²⁰⁰ 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 830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

830200 is an abundant number, since it is smaller than the sum of its proper divisors (1379480).

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

830200 is a wasteful number, since it uses less digits than its factorization.

830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 830200 is about 911.1531155629. The cubic root of 830200 is about 93.9855115741.

Adding to 830200 its reverse (2038), we get a palindrome (832238).

The spelling of 830200 in words is "eight hundred thirty thousand, two hundred".