8002760 has 32 divisors (see below), whose sum is σ = 18316800. Its totient is φ = 3145920.

The previous prime is 8002759. The next prime is 8002769. The reversal of 8002760 is 672008.

It is not an unprimeable number, because it can be changed into a prime (8002769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 665 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (572400).

Almost surely, 2^8002760 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 8002760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158400).

8002760 is an abundant number, since it is smaller than the sum of its proper divisors (10314040).

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

8002760 is a wasteful number, since it uses less digits than its factorization.

8002760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 8002760 is about 2828.9149863508. The cubic root of 8002760 is about 200.0229973555.

Adding to 8002760 its reverse (672008), we get a palindrome (8674768).

The spelling of 8002760 in words is "eight million, two thousand, seven hundred sixty".