8204800 has 60 divisors (see below), whose sum is σ = 20359746. Its totient is φ = 3276800.

The previous prime is 8204783. The next prime is 8204809. The reversal of 8204800 is 84028.

It can be written as a sum of positive squares in 3 ways, for example, as 7485696 + 719104 = 2736^2 + 848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8204809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12480 + ... + 13120.

Almost surely, 2^8204800 is an apocalyptic number.

8204800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179873).

8204800 is an abundant number, since it is smaller than the sum of its proper divisors (12154946).

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

8204800 is an equidigital number, since it uses as much as digits as its factorization.

8204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8204800 is about 2864.4022063949. The cubic root of 8204800 is about 201.6923067674.

Adding to 8204800 its reverse (84028), we get a palindrome (8288828).

It can be divided in two parts, 8 and 204800, that multiplied together give a square (1638400 = 1280²).

The spelling of 8204800 in words is "eight million, two hundred four thousand, eight hundred".