300820 has 36 divisors (see below), whose sum is σ = 691740. Its totient is φ = 109824.

The previous prime is 300809. The next prime is 300821. The reversal of 300820 is 28003.

It can be written as a sum of positive squares in 6 ways, for example, as 103684 + 197136 = 322^2 + 444^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 300820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300821) 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, 3336 + ... + 3424.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2³⁰⁰⁸²⁰ 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 300820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345870).

300820 is an abundant number, since it is smaller than the sum of its proper divisors (390920).

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

300820 is a wasteful number, since it uses less digits than its factorization.

300820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 300820 is about 548.4706008530. The cubic root of 300820 is about 67.0042323011.

Adding to 300820 its reverse (28003), we get a palindrome (328823).

The spelling of 300820 in words is "three hundred thousand, eight hundred twenty".