7982100 has 162 divisors, whose sum is σ = 29265054. Its totient is φ = 1814400.

The previous prime is 7982087. The next prime is 7982101. The reversal of 7982100 is 12897.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 7918596 = 252^2 + 2814^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982101) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 44010 + ... + 44190.

Almost surely, 2^7982100 is an apocalyptic number.

7982100 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 7982100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632527).

7982100 is an abundant number, since it is smaller than the sum of its proper divisors (21282954).

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

7982100 is a wasteful number, since it uses less digits than its factorization.

7982100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7982100 is about 2825.2610498855. The cubic root of 7982100 is about 199.8507219414.

Adding to 7982100 its reverse (12897), we get a palindrome (7994997).

The spelling of 7982100 in words is "seven million, nine hundred eighty-two thousand, one hundred".