878460 has 60 divisors (see below), whose sum is σ = 2705640. Its totient is φ = 212960.

The previous prime is 878453. The next prime is 878467. The reversal of 878460 is 64878.

It is an interprime number because it is at equal distance from previous prime (878453) and next prime (878467).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878467) by changing a digit.

878460 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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79855 + ... + 79865.

It is an arithmetic number, because the mean of its divisors is an integer number (45094).

2⁸⁷⁸⁴⁶⁰ 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 878460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352820).

878460 is an abundant number, since it is smaller than the sum of its proper divisors (1827180).

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

878460 is a wasteful number, since it uses less digits than its factorization.

878460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 878460 is about 937.2619697822. The cubic root of 878460 is about 95.7724646029.

The spelling of 878460 in words is "eight hundred seventy-eight thousand, four hundred sixty".