7385760 has 144 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 1875456.

The previous prime is 7385759. The next prime is 7385761. The reversal of 7385760 is 675837.

It is an interprime number because it is at equal distance from previous prime (7385759) and next prime (7385761).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (7385761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33009 + ... + 33231.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^7385760 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 7385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

7385760 is an abundant number, since it is smaller than the sum of its proper divisors (19031904).

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

7385760 is a wasteful number, since it uses less digits than its factorization.

7385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7385760 is about 2717.6754773151. The cubic root of 7385760 is about 194.7444383899.

The spelling of 7385760 in words is "seven million, three hundred eighty-five thousand, seven hundred sixty".