8090768 has 80 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 3214848.

The previous prime is 8090749. The next prime is 8090777. The reversal of 8090768 is 8670908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152630 + ... + 152682.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^8090768 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 8090768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

8090768 is an abundant number, since it is smaller than the sum of its proper divisors (11193712).

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

8090768 is a wasteful number, since it uses less digits than its factorization.

8090768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 8090768 is about 2844.4275346720. The cubic root of 8090768 is about 200.7535571919.

The spelling of 8090768 in words is "eight million, ninety thousand, seven hundred sixty-eight".