7882100 has 54 divisors (see below), whose sum is σ = 18000150. Its totient is φ = 2995520.

The previous prime is 7882099. The next prime is 7882111. The reversal of 7882100 is 12887.

It can be written as a sum of positive squares in 3 ways, for example, as 8464 + 7873636 = 92^2 + 2806^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7882100.

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 17 ways as a sum of consecutive naturals, for example, 52826 + ... + 52974.

Almost surely, 2^7882100 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 7882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000075).

7882100 is an abundant number, since it is smaller than the sum of its proper divisors (10118050).

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

7882100 is a wasteful number, since it uses less digits than its factorization.

7882100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 7882100 is about 2807.5077916188. The cubic root of 7882100 is about 199.0126335590.

Adding to 7882100 its reverse (12887), we get a palindrome (7894987).

The spelling of 7882100 in words is "seven million, eight hundred eighty-two thousand, one hundred".