878189760 has 420 divisors, whose sum is σ = 3551578368. Its totient is φ = 199148544.

The previous prime is 878189743. The next prime is 878189761. The reversal of 878189760 is 67981878.

It is a tau number, because it is divible by the number of its divisors (420).

It is a junction number, because it is equal to n+sod(n) for n = 878189697 and 878189706.

It is not an unprimeable number, because it can be changed into a prime (878189761) 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 59 ways as a sum of consecutive naturals, for example, 6914817 + ... + 6914943.

Almost surely, 2^878189760 is an apocalyptic number.

878189760 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 878189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775789184).

878189760 is an abundant number, since it is smaller than the sum of its proper divisors (2673388608).

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

878189760 is a wasteful number, since it uses less digits than its factorization.

878189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 878189760 is about 29634.2666519690. The cubic root of 878189760 is about 957.6264279153.

The spelling of 878189760 in words is "eight hundred seventy-eight million, one hundred eighty-nine thousand, seven hundred sixty".