878109120 has 224 divisors, whose sum is σ = 3540556800. Its totient is φ = 200696832.

The previous prime is 878109083. The next prime is 878109137. The reversal of 878109120 is 21901878.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53221 + ... + 67739.

Almost surely, 2^878109120 is an apocalyptic number.

878109120 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 878109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770278400).

878109120 is an abundant number, since it is smaller than the sum of its proper divisors (2662447680).

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

878109120 is a wasteful number, since it uses less digits than its factorization.

878109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14552 (or 14536 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 878109120 is about 29632.9060336647. The cubic root of 878109120 is about 957.5971155873.

The spelling of 878109120 in words is "eight hundred seventy-eight million, one hundred nine thousand, one hundred twenty".