830820 has 48 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 216960.

The previous prime is 830801. The next prime is 830827. The reversal of 830820 is 28038.

830820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (830827) by changing a digit.

830820 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, 3547 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁸³⁰⁸²⁰ 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 830820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

830820 is an abundant number, since it is smaller than the sum of its proper divisors (1544028).

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

830820 is a wasteful number, since it uses less digits than its factorization.

830820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 830820 is about 911.4932802824. The cubic root of 830820 is about 94.0089021296.

Adding to 830820 its reverse (28038), we get a palindrome (858858).

The spelling of 830820 in words is "eight hundred thirty thousand, eight hundred twenty".