8003116800 has 648 divisors, whose sum is σ = 34161813504. Its totient is φ = 1747722240.

The previous prime is 8003116783. The next prime is 8003116813. The reversal of 8003116800 is 86113008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9273169 + ... + 9274031.

It is an arithmetic number, because the mean of its divisors is an integer number (52718848).

Almost surely, 2^8003116800 is an apocalyptic number.

8003116800 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 8003116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080906752).

8003116800 is an abundant number, since it is smaller than the sum of its proper divisors (26158696704).

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

8003116800 is a wasteful number, since it uses less digits than its factorization.

8003116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8003116800 is about 89460.1408449596. The cubic root of 8003116800 is about 2000.2596996099.

Adding to 8003116800 its reverse (86113008), we get a palindrome (8089229808).

The spelling of 8003116800 in words is "eight billion, three million, one hundred sixteen thousand, eight hundred".