830800 has 60 divisors (see below), whose sum is σ = 2091136. Its totient is φ = 316800.

The previous prime is 830789. The next prime is 830801. The reversal of 830800 is 8038.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12367 + ... + 12433.

2⁸³⁰⁸⁰⁰ is an apocalyptic number.

830800 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 830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045568).

830800 is an abundant number, since it is smaller than the sum of its proper divisors (1260336).

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

830800 is a wasteful number, since it uses less digits than its factorization.

830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 830800 is about 911.4823092085. The cubic root of 830800 is about 94.0081477772.

Adding to 830800 its reverse (8038), we get a palindrome (838838).

The spelling of 830800 in words is "eight hundred thirty thousand, eight hundred".