7303680 has 120 divisors (see below), whose sum is σ = 25374492. Its totient is φ = 1941504.

The previous prime is 7303663. The next prime is 7303687. The reversal of 7303680 is 863037.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 831744 = 2544^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (7303687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22882 + ... + 23198.

Almost surely, 2^7303680 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 7303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687246).

7303680 is an abundant number, since it is smaller than the sum of its proper divisors (18070812).

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

7303680 is a wasteful number, since it uses less digits than its factorization.

7303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7303680 is about 2702.5321459698. The cubic root of 7303680 is about 194.0203330090.

The spelling of 7303680 in words is "seven million, three hundred three thousand, six hundred eighty".