878996160 has 336 divisors, whose sum is σ = 3518611200. Its totient is φ = 197240832.

The previous prime is 878996159. The next prime is 878996197. The reversal of 878996160 is 61699878.

878996160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 878996097 and 878996106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189071 + ... + 1189809.

Almost surely, 2^878996160 is an apocalyptic number.

878996160 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 878996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759305600).

878996160 is an abundant number, since it is smaller than the sum of its proper divisors (2639615040).

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

878996160 is a wasteful number, since it uses less digits than its factorization.

878996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 878996160 is about 29647.8694006838. The cubic root of 878996160 is about 957.9194525515.

The spelling of 878996160 in words is "eight hundred seventy-eight million, nine hundred ninety-six thousand, one hundred sixty".