8009792 has 56 divisors (see below), whose sum is σ = 19141440. Its totient is φ = 3248640.

The previous prime is 8009789. The next prime is 8009831. The reversal of 8009792 is 2979008.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8042 + ... + 8982.

Almost surely, 2^8009792 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 8009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9570720).

8009792 is an abundant number, since it is smaller than the sum of its proper divisors (11131648).

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

8009792 is a wasteful number, since it uses less digits than its factorization.

8009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 8009792 is about 2830.1575927852. The cubic root of 8009792 is about 200.0815667298.

The spelling of 8009792 in words is "eight million, nine thousand, seven hundred ninety-two".