7982160 has 80 divisors (see below), whose sum is σ = 25117440. Its totient is φ = 2096640.

The previous prime is 7982153. The next prime is 7982201. The reversal of 7982160 is 612897.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 18750 + ... + 19170.

It is an arithmetic number, because the mean of its divisors is an integer number (313968).

Almost surely, 2^7982160 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 7982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558720).

7982160 is an abundant number, since it is smaller than the sum of its proper divisors (17135280).

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

7982160 is a wasteful number, since it uses less digits than its factorization.

7982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7982160 is about 2825.2716683533. The cubic root of 7982160 is about 199.8512226873.

The spelling of 7982160 in words is "seven million, nine hundred eighty-two thousand, one hundred sixty".