878952 has 32 divisors (see below), whose sum is σ = 2242080. Its totient is φ = 287040.

The previous prime is 878939. The next prime is 878953. The reversal of 878952 is 259878.

878952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 878952.

It is not an unprimeable number, because it can be changed into a prime (878953) by changing a digit.

878952 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 7 ways as a sum of consecutive naturals, for example, 927 + ... + 1617.

It is an arithmetic number, because the mean of its divisors is an integer number (70065).

2⁸⁷⁸⁹⁵² 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 878952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121040).

878952 is an abundant number, since it is smaller than the sum of its proper divisors (1363128).

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

878952 is a wasteful number, since it uses less digits than its factorization.

878952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 878952 is about 937.5243996825. The cubic root of 878952 is about 95.7903410604.

It can be divided in two parts, 878 and 952, that added together give a triangular number (1830 = T₆₀).

The spelling of 878952 in words is "eight hundred seventy-eight thousand, nine hundred fifty-two".