8007939072 has 528 divisors, whose sum is σ = 28899054720. Its totient is φ = 2179989504.

The previous prime is 8007938999. The next prime is 8007939073. The reversal of 8007939072 is 2709397008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007939073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31159168 + ... + 31159424.

Almost surely, 2^8007939072 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 8007939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449527360).

8007939072 is an abundant number, since it is smaller than the sum of its proper divisors (20891115648).

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

8007939072 is a wasteful number, since it uses less digits than its factorization.

8007939072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 8007939072 is about 89487.0888564378. The cubic root of 8007939072 is about 2000.6613706037.

The spelling of 8007939072 in words is "eight billion, seven million, nine hundred thirty-nine thousand, seventy-two".