7086080 has 56 divisors (see below), whose sum is σ = 17103852. Its totient is φ = 2818048.

The previous prime is 7086067. The next prime is 7086083. The reversal of 7086080 is 806807.

It can be written as a sum of positive squares in 2 ways, for example, as 6885376 + 200704 = 2624^2 + 448^2 .

It is not an unprimeable number, because it can be changed into a prime (7086083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40874 + ... + 41046.

Almost surely, 2^7086080 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 7086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551926).

7086080 is an abundant number, since it is smaller than the sum of its proper divisors (10017772).

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

7086080 is an equidigital number, since it uses as much as digits as its factorization.

7086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

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

The square root of 7086080 is about 2661.9691959149. The cubic root of 7086080 is about 192.0740455145.

The spelling of 7086080 in words is "seven million, eighty-six thousand, eighty".