8003993600 has 90 divisors (see below), whose sum is σ = 19850314134. Its totient is φ = 3201433600.

The previous prime is 8003993563. The next prime is 8003993611. The reversal of 8003993600 is 63993008.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 112869376 + 7891124224 = 10624^2 + 88832^2 .

It is a congruent number.

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, 399830 + ... + 419370.

Almost surely, 2^8003993600 is an apocalyptic number.

8003993600 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 8003993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925157067).

8003993600 is an abundant number, since it is smaller than the sum of its proper divisors (11846320534).

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

8003993600 is an equidigital number, since it uses as much as digits as its factorization.

8003993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19579 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 8003993600 is about 89465.0412172263. The cubic root of 8003993600 is about 2000.3327446374.

The spelling of 8003993600 in words is "eight billion, three million, nine hundred ninety-three thousand, six hundred".