8003080736 has 96 divisors (see below), whose sum is σ = 18846535680. Its totient is φ = 3270871296.

The previous prime is 8003080727. The next prime is 8003080777. The reversal of 8003080736 is 6370803008.

It is a junction number, because it is equal to n+sod(n) for n = 8003080696 and 8003080705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847405 + ... + 1851731.

It is an arithmetic number, because the mean of its divisors is an integer number (196318080).

Almost surely, 2^8003080736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8003080736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423267840).

8003080736 is an abundant number, since it is smaller than the sum of its proper divisors (10843454944).

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

8003080736 is a wasteful number, since it uses less digits than its factorization.

8003080736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 8003080736 is about 89459.9392801046. The cubic root of 8003080736 is about 2000.2566950524.

The spelling of 8003080736 in words is "eight billion, three million, eighty thousand, seven hundred thirty-six".