7845680 has 40 divisors (see below), whose sum is σ = 18440784. Its totient is φ = 3104000.

The previous prime is 7845671. The next prime is 7845683. The reversal of 7845680 is 865487.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (7845683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7595 + ... + 8565.

Almost surely, 2^7845680 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 7845680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220392).

7845680 is an abundant number, since it is smaller than the sum of its proper divisors (10595104).

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

7845680 is a wasteful number, since it uses less digits than its factorization.

7845680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 7845680 is about 2801.0141020709. The cubic root of 7845680 is about 198.7056412481.

The spelling of 7845680 in words is "seven million, eight hundred forty-five thousand, six hundred eighty".