7848 has 24 divisors (see below), whose sum is σ = 21450. Its totient is φ = 2592.

The previous prime is 7841. The next prime is 7853. The reversal of 7848 is 8487.

It is a happy number.

7848 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 1764 = 78^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×7848² = 123182208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7841) by changing a digit.

7848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18 + ... + 126.

2⁷⁸⁴⁸ 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 7848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725).

7848 is an abundant number, since it is smaller than the sum of its proper divisors (13602).

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

7848 is a wasteful number, since it uses less digits than its factorization.

7848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 7848 is about 88.5889383614. The cubic root of 7848 is about 19.8725225344.

Adding to 7848 its sum of digits (27), we get a triangular number (7875 = T₁₂₅).

The spelling of 7848 in words is "seven thousand, eight hundred forty-eight".