7826112 has 112 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 2232576.

The previous prime is 7826107. The next prime is 7826123. The reversal of 7826112 is 2116287.

7826112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7826112² = 122496058073088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11773 + ... + 12419.

Almost surely, 2^7826112 is an apocalyptic number.

7826112 is a gapful number since it is divisible by the number (72) 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 7826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

7826112 is an abundant number, since it is smaller than the sum of its proper divisors (18508608).

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

7826112 is a wasteful number, since it uses less digits than its factorization.

7826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 659 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 7826112 is about 2797.5189007404. The cubic root of 7826112 is about 198.5403057145.

The spelling of 7826112 in words is "seven million, eight hundred twenty-six thousand, one hundred twelve".