8200900 has 18 divisors (see below), whose sum is σ = 17796170. Its totient is φ = 3280320.

The previous prime is 8200883. The next prime is 8200921. The reversal of 8200900 is 90028.

It can be written as a sum of positive squares in 3 ways, for example, as 2208196 + 5992704 = 1486^2 + 2448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40905 + ... + 41104.

Almost surely, 2^8200900 is an apocalyptic number.

It is an amenable number.

8200900 is an abundant number, since it is smaller than the sum of its proper divisors (9595270).

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

8200900 is a wasteful number, since it uses less digits than its factorization.

8200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82023 (or 82016 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 8200900 is about 2863.7213551601. The cubic root of 8200900 is about 201.6603447995.

Adding to 8200900 its reverse (90028), we get a palindrome (8290928).

The spelling of 8200900 in words is "eight million, two hundred thousand, nine hundred".