830300 has 54 divisors (see below), whose sum is σ = 1984248. Its totient is φ = 300960.

The previous prime is 830293. The next prime is 830309. The reversal of 830300 is 3038.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830309) by changing a digit.

830300 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 17 ways as a sum of consecutive naturals, for example, 36089 + ... + 36111.

2⁸³⁰³⁰⁰ 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 830300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992124).

830300 is an abundant number, since it is smaller than the sum of its proper divisors (1153948).

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

830300 is a wasteful number, since it uses less digits than its factorization.

830300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 830300 is about 911.2079894294. The cubic root of 830300 is about 93.9892850319.

Adding to 830300 its reverse (3038), we get a palindrome (833338).

The spelling of 830300 in words is "eight hundred thirty thousand, three hundred".