7347680 has 48 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 2783232.

The previous prime is 7347667. The next prime is 7347709. The reversal of 7347680 is 867437.

It is a self number, because there is not a number n which added to its sum of digits gives 7347680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832 + ... + 4248.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^7347680 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 7347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

7347680 is an abundant number, since it is smaller than the sum of its proper divisors (10932400).

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

7347680 is a wasteful number, since it uses less digits than its factorization.

7347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 7347680 is about 2710.6604361299. The cubic root of 7347680 is about 194.4091693530.

The spelling of 7347680 in words is "seven million, three hundred forty-seven thousand, six hundred eighty".