7345680 has 80 divisors (see below), whose sum is σ = 23046144. Its totient is φ = 1935360.

The previous prime is 7345661. The next prime is 7345699. The reversal of 7345680 is 865437.

7345680 = T₆₆ + T₆₇ + ... + T₃₅₃.

It is an interprime number because it is at equal distance from previous prime (7345661) and next prime (7345699).

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30360 + ... + 30600.

Almost surely, 2^7345680 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 7345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523072).

7345680 is an abundant number, since it is smaller than the sum of its proper divisors (15700464).

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

7345680 is a wasteful number, since it uses less digits than its factorization.

7345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 7345680 is about 2710.2914972379. The cubic root of 7345680 is about 194.3915286999.

It can be divided in two parts, 73456 and 80, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 7345680 in words is "seven million, three hundred forty-five thousand, six hundred eighty".