7383680 has 64 divisors (see below), whose sum is σ = 17992800. Its totient is φ = 2896896.

The previous prime is 7383671. The next prime is 7383689. The reversal of 7383680 is 863837.

It is an interprime number because it is at equal distance from previous prime (7383671) and next prime (7383689).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 7383680.

It is not an unprimeable number, because it can be changed into a prime (7383689) 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, 53051 + ... + 53189.

Almost surely, 2^7383680 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 7383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996400).

7383680 is an abundant number, since it is smaller than the sum of its proper divisors (10609120).

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

7383680 is a wasteful number, since it uses less digits than its factorization.

7383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 7383680 is about 2717.2927703875. The cubic root of 7383680 is about 194.7261551681.

The spelling of 7383680 in words is "seven million, three hundred eighty-three thousand, six hundred eighty".