830520 has 64 divisors (see below), whose sum is σ = 2772000. Its totient is φ = 221184.

The previous prime is 830513. The next prime is 830549. The reversal of 830520 is 25038.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 830493 and 830502.

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 830520.

It is an unprimeable number.

830520 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, 696 + ... + 1464.

2⁸³⁰⁵²⁰ 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 830520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386000).

830520 is an abundant number, since it is smaller than the sum of its proper divisors (1941480).

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

830520 is a wasteful number, since it uses less digits than its factorization.

830520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 830520 is about 911.3287003052. The cubic root of 830520 is about 93.9975855725.

Adding to 830520 its reverse (25038), we get a palindrome (855558).

The spelling of 830520 in words is "eight hundred thirty thousand, five hundred twenty".