7982080 has 44 divisors (see below), whose sum is σ = 19159920. Its totient is φ = 3190784.

The previous prime is 7982063. The next prime is 7982083. The reversal of 7982080 is 802897.

It is a happy number.

It is a super-2 number, since 2×7982080² = 127427202252800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4341 + ... + 5899.

Almost surely, 2^7982080 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 7982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579960).

7982080 is an abundant number, since it is smaller than the sum of its proper divisors (11177840).

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

7982080 is a wasteful number, since it uses less digits than its factorization.

7982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 7982080 is about 2825.2575103873. The cubic root of 7982080 is about 199.8505550255.

The spelling of 7982080 in words is "seven million, nine hundred eighty-two thousand, eighty".