85878 has 24 divisors (see below), whose sum is σ = 200928. Its totient is φ = 26352.

The previous prime is 85853. The next prime is 85889. The reversal of 85878 is 87858.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

85878 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (8372).

2⁸⁵⁸⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100464).

85878 is an abundant number, since it is smaller than the sum of its proper divisors (115050).

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

85878 is a wasteful number, since it uses less digits than its factorization.

85878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 85878 is about 293.0494838760. The cubic root of 85878 is about 44.1191673202.

It can be divided in two parts, 8 and 5878, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 85878 in words is "eighty-five thousand, eight hundred seventy-eight".