820500 has 48 divisors (see below), whose sum is σ = 2393664. Its totient is φ = 218400.

The previous prime is 820489. The next prime is 820537. The reversal of 820500 is 5028.

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 820500.

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 820500.

It is an unprimeable number.

820500 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 1227 + ... + 1773.

It is an arithmetic number, because the mean of its divisors is an integer number (49868).

2⁸²⁰⁵⁰⁰ 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 820500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196832).

820500 is an abundant number, since it is smaller than the sum of its proper divisors (1573164).

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

820500 is a wasteful number, since it uses less digits than its factorization.

820500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 820500 is about 905.8145505566. The cubic root of 820500 is about 93.6180365563.

Adding to 820500 its reverse (5028), we get a palindrome (825528).

The spelling of 820500 in words is "eight hundred twenty thousand, five hundred".