7845360 has 80 divisors (see below), whose sum is σ = 24644256. Its totient is φ = 2064384.

The previous prime is 7845349. The next prime is 7845361. The reversal of 7845360 is 635487.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7845361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23112 + ... + 23448.

Almost surely, 2^7845360 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 7845360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322128).

7845360 is an abundant number, since it is smaller than the sum of its proper divisors (16798896).

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

7845360 is a wasteful number, since it uses less digits than its factorization.

7845360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

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

The square root of 7845360 is about 2800.9569793197. The cubic root of 7845360 is about 198.7029396905.

The spelling of 7845360 in words is "seven million, eight hundred forty-five thousand, three hundred sixty".