8006080 has 56 divisors (see below), whose sum is σ = 19312128. Its totient is φ = 3161088.

The previous prime is 8006077. The next prime is 8006081. The reversal of 8006080 is 806008.

8006080 is nontrivially palindromic in base 15.

8006080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40542 + ... + 40738.

Almost surely, 2^8006080 is an apocalyptic number.

8006080 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 8006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656064).

8006080 is an abundant number, since it is smaller than the sum of its proper divisors (11306048).

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

8006080 is a wasteful number, since it uses less digits than its factorization.

8006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8006080 is about 2829.5017229187. The cubic root of 8006080 is about 200.0506538365.

The spelling of 8006080 in words is "eight million, six thousand, eighty".