7005680 has 80 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 2407680.

The previous prime is 7005673. The next prime is 7005697. The reversal of 7005680 is 865007.

7005680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16511 + ... + 16929.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^7005680 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 7005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

7005680 is an abundant number, since it is smaller than the sum of its proper divisors (11743120).

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

7005680 is a wasteful number, since it uses less digits than its factorization.

7005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 7005680 is about 2646.8245125055. The cubic root of 7005680 is about 191.3448445229.

The spelling of 7005680 in words is "seven million, five thousand, six hundred eighty".