7583680 has 56 divisors (see below), whose sum is σ = 19458432. Its totient is φ = 2798592.

The previous prime is 7583669. The next prime is 7583689. The reversal of 7583680 is 863857.

7583680 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 (7583689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3249 + ... + 5071.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 2^7583680 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 7583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729216).

7583680 is an abundant number, since it is smaller than the sum of its proper divisors (11874752).

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

7583680 is a wasteful number, since it uses less digits than its factorization.

7583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7583680 is about 2753.8482165871. The cubic root of 7583680 is about 196.4686826233.

The spelling of 7583680 in words is "seven million, five hundred eighty-three thousand, six hundred eighty".