878292 has 36 divisors (see below), whose sum is σ = 2294656. Its totient is φ = 282960.

The previous prime is 878291. The next prime is 878299. The reversal of 878292 is 292878.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 878292.

It is not an unprimeable number, because it can be changed into a prime (878291) by changing a digit.

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, 723 + ... + 1509.

2⁸⁷⁸²⁹² 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 878292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147328).

878292 is an abundant number, since it is smaller than the sum of its proper divisors (1416364).

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

878292 is a wasteful number, since it uses less digits than its factorization.

878292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 823 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 878292 is about 937.1723427417. The cubic root of 878292 is about 95.7663589180.

The spelling of 878292 in words is "eight hundred seventy-eight thousand, two hundred ninety-two".