7305680 has 80 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 2720256.

The previous prime is 7305673. The next prime is 7305691. The reversal of 7305680 is 865037.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109007 + ... + 109073.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 2^7305680 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 7305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

7305680 is an abundant number, since it is smaller than the sum of its proper divisors (10907440).

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

7305680 is a wasteful number, since it uses less digits than its factorization.

7305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 7305680 is about 2702.9021439926. The cubic root of 7305680 is about 194.0380412169.

The spelling of 7305680 in words is "seven million, three hundred five thousand, six hundred eighty".