7845 has 8 divisors (see below), whose sum is σ = 12576. Its totient is φ = 4176.

The previous prime is 7841. The next prime is 7853. The reversal of 7845 is 5487.

7845 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7845 - 2² = 7841 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7845.

It is not an unprimeable number, because it can be changed into a prime (7841) 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, 247 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (1572).

It is an amenable number.

7845 is a deficient number, since it is larger than the sum of its proper divisors (4731).

7845 is a wasteful number, since it uses less digits than its factorization.

7845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531.

The product of its digits is 1120, while the sum is 24.

The square root of 7845 is about 88.5720046064. The cubic root of 7845 is about 19.8699900350.

The spelling of 7845 in words is "seven thousand, eight hundred forty-five".