8000790336 has 448 divisors, whose sum is σ = 29588520960. Its totient is φ = 2059499520.

The previous prime is 8000790331. The next prime is 8000790337. The reversal of 8000790336 is 6330970008.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8000790336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000790331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20889601 + ... + 20889983.

Almost surely, 2^8000790336 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 8000790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794260480).

8000790336 is an abundant number, since it is smaller than the sum of its proper divisors (21587730624).

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

8000790336 is a wasteful number, since it uses less digits than its factorization.

8000790336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 8000790336 is about 89447.1371034311. The cubic root of 8000790336 is about 2000.0658591646.

The spelling of 8000790336 in words is "eight billion, seven hundred ninety thousand, three hundred thirty-six".