8007680 has 104 divisors (see below), whose sum is σ = 21231072. Its totient is φ = 2883584.

The previous prime is 8007679. The next prime is 8007689. The reversal of 8007680 is 867008.

It is not an unprimeable number, because it can be changed into a prime (8007689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348149 + ... + 348171.

Almost surely, 2^8007680 is an apocalyptic number.

8007680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615536).

8007680 is an abundant number, since it is smaller than the sum of its proper divisors (13223392).

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

8007680 is a wasteful number, since it uses less digits than its factorization.

8007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8007680 is about 2829.7844440876. The cubic root of 8007680 is about 200.0639795309.

The spelling of 8007680 in words is "eight million, seven thousand, six hundred eighty".