8000760 has 64 divisors (see below), whose sum is σ = 24418080. Its totient is φ = 2096640.

The previous prime is 8000753. The next prime is 8000771. The reversal of 8000760 is 670008.

8000760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6774 + ... + 7866.

Almost surely, 2^8000760 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 8000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209040).

8000760 is an abundant number, since it is smaller than the sum of its proper divisors (16417320).

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

8000760 is a wasteful number, since it uses less digits than its factorization.

8000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8000760 is about 2828.5614718439. The cubic root of 8000760 is about 200.0063331328.

Adding to 8000760 its reverse (670008), we get a palindrome (8670768).

The spelling of 8000760 in words is "eight million, seven hundred sixty", and thus it is an aban number.