7882112 has 64 divisors (see below), whose sum is σ = 18931200. Its totient is φ = 3193344.

The previous prime is 7882111. The next prime is 7882129. The reversal of 7882112 is 2112887.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16793 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (295800).

Almost surely, 2^7882112 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 7882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465600).

7882112 is an abundant number, since it is smaller than the sum of its proper divisors (11049088).

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

7882112 is a wasteful number, since it uses less digits than its factorization.

7882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its digits is 1792, while the sum is 29.

The square root of 7882112 is about 2807.5099287447. The cubic root of 7882112 is about 199.0127345537.

Adding to 7882112 its reverse (2112887), we get a palindrome (9994999).

The spelling of 7882112 in words is "seven million, eight hundred eighty-two thousand, one hundred twelve".