830220 has 48 divisors (see below), whose sum is σ = 2364768. Its totient is φ = 217600.

The previous prime is 830191. The next prime is 830233. The reversal of 830220 is 22038.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 830220.

It is an unprimeable number.

830220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (49266).

2⁸³⁰²²⁰ 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 830220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182384).

830220 is an abundant number, since it is smaller than the sum of its proper divisors (1534548).

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

830220 is a wasteful number, since it uses less digits than its factorization.

830220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 830220 is about 911.1640906006. The cubic root of 830220 is about 93.9862662899.

Adding to 830220 its reverse (22038), we get a palindrome (852258).

The spelling of 830220 in words is "eight hundred thirty thousand, two hundred twenty".