878814144 has 448 divisors, whose sum is σ = 3072384000. Its totient is φ = 243855360.

The previous prime is 878814119. The next prime is 878814161. The reversal of 878814144 is 441418878.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 878814144.

It is a congruent number.

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, 12377629 + ... + 12377699.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^878814144 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 878814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192000).

878814144 is an abundant number, since it is smaller than the sum of its proper divisors (2193569856).

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

878814144 is a wasteful number, since it uses less digits than its factorization.

878814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 878814144 is about 29644.7996113990. The cubic root of 878814144 is about 957.8533283706.

The spelling of 878814144 in words is "eight hundred seventy-eight million, eight hundred fourteen thousand, one hundred forty-four".