78852 has 12 divisors (see below), whose sum is σ = 184016. Its totient is φ = 26280.

The previous prime is 78839. The next prime is 78853. The reversal of 78852 is 25887.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 7³ + 8² + 8² + 5⁷ + 2⁸ .

It is not an unprimeable number, because it can be changed into a prime (78853) by changing a digit.

78852 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3274 + ... + 3297.

2⁷⁸⁸⁵² is an apocalyptic number.

It is an amenable number.

78852 is an abundant number, since it is smaller than the sum of its proper divisors (105164).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92008).

78852 is a wasteful number, since it uses less digits than its factorization.

78852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6576 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 78852 is about 280.8059828422. The cubic root of 78852 is about 42.8815923984.

It can be divided in two parts, 7885 and 2, that added together give a palindrome (7887).

The spelling of 78852 in words is "seventy-eight thousand, eight hundred fifty-two".