820300 has 36 divisors (see below), whose sum is σ = 1920016. Its totient is φ = 302400.

The previous prime is 820279. The next prime is 820319. The reversal of 820300 is 3028.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985 + ... + 1615.

2⁸²⁰³⁰⁰ 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 820300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960008).

820300 is an abundant number, since it is smaller than the sum of its proper divisors (1099716).

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

820300 is a wasteful number, since it uses less digits than its factorization.

820300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

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

The square root of 820300 is about 905.7041459550. The cubic root of 820300 is about 93.6104293539.

Adding to 820300 its reverse (3028), we get a palindrome (823328).

The spelling of 820300 in words is "eight hundred twenty thousand, three hundred".