8006760 has 96 divisors (see below), whose sum is σ = 27181440. Its totient is φ = 2040192.

The previous prime is 8006753. The next prime is 8006797. The reversal of 8006760 is 676008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7797 + ... + 8763.

It is an arithmetic number, because the mean of its divisors is an integer number (283140).

Almost surely, 2^8006760 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 8006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590720).

8006760 is an abundant number, since it is smaller than the sum of its proper divisors (19174680).

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

8006760 is a wasteful number, since it uses less digits than its factorization.

8006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8006760 is about 2829.6218828670. The cubic root of 8006760 is about 200.0563174736.

The spelling of 8006760 in words is "eight million, six thousand, seven hundred sixty".