7983360 has 360 divisors, whose sum is σ = 35614656. Its totient is φ = 1658880.

The previous prime is 7983359. The next prime is 7983361. The reversal of 7983360 is 633897.

It is an interprime number because it is at equal distance from previous prime (7983359) and next prime (7983361).

It is a tau number, because it is divible by the number of its divisors (360).

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 (7983361) 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, 725755 + ... + 725765.

Almost surely, 2^7983360 is an apocalyptic number.

7983360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807328).

7983360 is an abundant number, since it is smaller than the sum of its proper divisors (27631296).

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

7983360 is a wasteful number, since it uses less digits than its factorization.

7983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7983360 is about 2825.4840293302. The cubic root of 7983360 is about 199.8612370799.

The spelling of 7983360 in words is "seven million, nine hundred eighty-three thousand, three hundred sixty".