820822500 has 135 divisors (see below), whose sum is σ = 2606386783. Its totient is φ = 217740000.

The previous prime is 820822487. The next prime is 820822531. The reversal of 820822500 is 5228028.

The square root of 820822500 is 28650.

It is a perfect power (a square), and thus also a powerful number.

820822500 is a `hidden beast` number, since 82 + 0 + 82 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 756470016 = 8022^2 + 27504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4297405 + ... + 4297595.

Almost surely, 2^820822500 is an apocalyptic number.

820822500 is the 28650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820822500

820822500 is an abundant number, since it is smaller than the sum of its proper divisors (1785564283).

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

820822500 is a wasteful number, since it uses less digits than its factorization.

820822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The cubic root of 820822500 is about 936.3030056687.

The spelling of 820822500 in words is "eight hundred twenty million, eight hundred twenty-two thousand, five hundred".