7845660 has 120 divisors (see below), whose sum is σ = 25613280. Its totient is φ = 2007936.

The previous prime is 7845647. The next prime is 7845667. The reversal of 7845660 is 665487.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁵ + 8³ + 4¹¹ + 5⁹ + 6⁴ + 6⁸ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7845667) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46897 + ... + 47063.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^7845660 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 7845660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806640).

7845660 is an abundant number, since it is smaller than the sum of its proper divisors (17767620).

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

7845660 is a wasteful number, since it uses less digits than its factorization.

7845660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7845660 is about 2801.0105319331. The cubic root of 7845660 is about 198.7054724029.

The spelling of 7845660 in words is "seven million, eight hundred forty-five thousand, six hundred sixty".