8002803200 has 120 divisors (see below), whose sum is σ = 22660333872. Its totient is φ = 2743787520.

The previous prime is 8002803181. The next prime is 8002803203. The reversal of 8002803200 is 23082008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002803203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44942 + ... + 134258.

Almost surely, 2^8002803200 is an apocalyptic number.

8002803200 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 8002803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330166936).

8002803200 is an abundant number, since it is smaller than the sum of its proper divisors (14657530672).

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

8002803200 is an equidigital number, since it uses as much as digits as its factorization.

8002803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89352 (or 89331 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8002803200 is about 89458.3880918944. The cubic root of 8002803200 is about 2000.2335727208.

Adding to 8002803200 its reverse (23082008), we get a palindrome (8025885208).

The spelling of 8002803200 in words is "eight billion, two million, eight hundred three thousand, two hundred".