878560 has 72 divisors (see below), whose sum is σ = 2320920. Its totient is φ = 313344.

The previous prime is 878551. The next prime is 878567. The reversal of 878560 is 65878.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878567) by changing a digit.

878560 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, 46231 + ... + 46249.

It is an arithmetic number, because the mean of its divisors is an integer number (32235).

2⁸⁷⁸⁵⁶⁰ is an apocalyptic number.

878560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160460).

878560 is an abundant number, since it is smaller than the sum of its proper divisors (1442360).

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

878560 is a wasteful number, since it uses less digits than its factorization.

878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 878560 is about 937.3153151421. The cubic root of 878560 is about 95.7760985696.

The spelling of 878560 in words is "eight hundred seventy-eight thousand, five hundred sixty".