878080 has 80 divisors (see below), whose sum is σ = 2455200. Its totient is φ = 301056.

The previous prime is 878077. The next prime is 878083. The reversal of 878080 is 80878.

It is an interprime number because it is at equal distance from previous prime (878077) and next prime (878083).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125437 + ... + 125443.

It is an arithmetic number, because the mean of its divisors is an integer number (30690).

2⁸⁷⁸⁰⁸⁰ is an apocalyptic number.

878080 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 878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227600).

878080 is an abundant number, since it is smaller than the sum of its proper divisors (1577120).

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

878080 is an frugal number, since it uses more digits than its factorization.

878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 878080 is about 937.0592297182. The cubic root of 878080 is about 95.7586530139.

The spelling of 878080 in words is "eight hundred seventy-eight thousand, eighty".