7343680 has 56 divisors (see below), whose sum is σ = 17858232. Its totient is φ = 2875392.

The previous prime is 7343663. The next prime is 7343681. The reversal of 7343680 is 863437.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 7011904 = 576^2 + 2648^2 .

It is not an unprimeable number, because it can be changed into a prime (7343681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16744 + ... + 17176.

It is an arithmetic number, because the mean of its divisors is an integer number (318897).

Almost surely, 2^7343680 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 7343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8929116).

7343680 is an abundant number, since it is smaller than the sum of its proper divisors (10514552).

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

7343680 is a wasteful number, since it uses less digits than its factorization.

7343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 7343680 is about 2709.9225081172. The cubic root of 7343680 is about 194.3738848445.

The spelling of 7343680 in words is "seven million, three hundred forty-three thousand, six hundred eighty".