7189680 has 80 divisors (see below), whose sum is σ = 23078880. Its totient is φ = 1849344.

The previous prime is 7189669. The next prime is 7189717. The reversal of 7189680 is 869817.

7189680 is digitally balanced in base 4, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6444 + ... + 7476.

It is an arithmetic number, because the mean of its divisors is an integer number (288486).

Almost surely, 2^7189680 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 7189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539440).

7189680 is an abundant number, since it is smaller than the sum of its proper divisors (15889200).

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

7189680 is a wasteful number, since it uses less digits than its factorization.

7189680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 7189680 is about 2681.3578649632. The cubic root of 7189680 is about 193.0055749327.

The spelling of 7189680 in words is "seven million, one hundred eighty-nine thousand, six hundred eighty".