878816 has 24 divisors (see below), whose sum is σ = 1791720. Its totient is φ = 423808.

The previous prime is 878797. The next prime is 878821. The reversal of 878816 is 618878.

It is a self number, because there is not a number n which added to its sum of digits gives 878816.

It is a congruent number.

It is an unprimeable number.

878816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 455 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (74655).

2⁸⁷⁸⁸¹⁶ 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 878816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895860).

878816 is an abundant number, since it is smaller than the sum of its proper divisors (912904).

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

878816 is a wasteful number, since it uses less digits than its factorization.

878816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 878816 is about 937.4518654310. The cubic root of 878816 is about 95.7854002679.

It can be divided in two parts, 8788 and 16, that multiplied together give a cube (140608 = 52³).

The spelling of 878816 in words is "eight hundred seventy-eight thousand, eight hundred sixteen".