7923360 has 96 divisors (see below), whose sum is σ = 26453952. Its totient is φ = 1986560.

The previous prime is 7923337. The next prime is 7923371. The reversal of 7923360 is 633297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7675 + ... + 8645.

It is an arithmetic number, because the mean of its divisors is an integer number (275562).

Almost surely, 2^7923360 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 7923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226976).

7923360 is an abundant number, since it is smaller than the sum of its proper divisors (18530592).

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

7923360 is a wasteful number, since it uses less digits than its factorization.

7923360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 7923360 is about 2814.8463545991. The cubic root of 7923360 is about 199.3592829334.

The spelling of 7923360 in words is "seven million, nine hundred twenty-three thousand, three hundred sixty".