7982748160 has 160 divisors (see below), whose sum is σ = 20248525440. Its totient is φ = 3009871872.

The previous prime is 7982748143. The next prime is 7982748167. The reversal of 7982748160 is 618472897.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 7982748098 and 7982748107.

It is not an unprimeable number, because it can be changed into a prime (7982748167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16391437 + ... + 16391923.

It is an arithmetic number, because the mean of its divisors is an integer number (126553284).

Almost surely, 2^7982748160 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 7982748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124262720).

7982748160 is an abundant number, since it is smaller than the sum of its proper divisors (12265777280).

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

7982748160 is a wasteful number, since it uses less digits than its factorization.

7982748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The square root of 7982748160 is about 89346.2263332929. The cubic root of 7982748160 is about 1998.5613120032.

The spelling of 7982748160 in words is "seven billion, nine hundred eighty-two million, seven hundred forty-eight thousand, one hundred sixty".