878906160 has 320 divisors, whose sum is σ = 3355499520. Its totient is φ = 209664000.

The previous prime is 878906143. The next prime is 878906179. The reversal of 878906160 is 61609878.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686700 + ... + 1687220.

It is an arithmetic number, because the mean of its divisors is an integer number (10485936).

Almost surely, 2^878906160 is an apocalyptic number.

878906160 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 878906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677749760).

878906160 is an abundant number, since it is smaller than the sum of its proper divisors (2476593360).

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

878906160 is a wasteful number, since it uses less digits than its factorization.

878906160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 878906160 is about 29646.3515461852. The cubic root of 878906160 is about 957.8867577961.

The spelling of 878906160 in words is "eight hundred seventy-eight million, nine hundred six thousand, one hundred sixty".