7982132500 has 60 divisors (see below), whose sum is σ = 17475921540. Its totient is φ = 3189088000.

The previous prime is 7982132467. The next prime is 7982132537. The reversal of 7982132500 is 52312897.

It can be written as a sum of positive squares in 10 ways, for example, as 4899440016 + 3082692484 = 69996^2 + 55522^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7982132500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3221262 + ... + 3223738.

It is an arithmetic number, because the mean of its divisors is an integer number (291265359).

Almost surely, 2^7982132500 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 7982132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8737960770).

7982132500 is an abundant number, since it is smaller than the sum of its proper divisors (9493789040).

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

7982132500 is a wasteful number, since it uses less digits than its factorization.

7982132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 7982132500 is about 89342.7809059020. The cubic root of 7982132500 is about 1998.5099317907.

The spelling of 7982132500 in words is "seven billion, nine hundred eighty-two million, one hundred thirty-two thousand, five hundred".