10878 has 24 divisors (see below), whose sum is σ = 25992. Its totient is φ = 3024.

The previous prime is 10867. The next prime is 10883. The reversal of 10878 is 87801.

10878 is a nontrivial binomial coefficient, being equal to C(148, 2).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (1083).

2¹⁰⁸⁷⁸ is an apocalyptic number.

10878 is the 147-th triangular number and also the 74-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996).

10878 is an abundant number, since it is smaller than the sum of its proper divisors (15114).

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

10878 is a wasteful number, since it uses less digits than its factorization.

10878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10878 is about 104.2976509803. The cubic root of 10878 is about 22.1572751844.

It can be divided in two parts, 10 and 878, that added together give a palindrome (888).

The spelling of 10878 in words is "ten thousand, eight hundred seventy-eight".