878649120 has 288 divisors, whose sum is σ = 3214149120. Its totient is φ = 226748160.

The previous prime is 878649103. The next prime is 878649173. The reversal of 878649120 is 21946878.

878649120 is a `hidden beast` number, since 87 + 86 + 491 + 2 + 0 = 666.

878649120 is digitally balanced in base 2, 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 (288).

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 47 ways as a sum of consecutive naturals, for example, 28343505 + ... + 28343535.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2^878649120 is an apocalyptic number.

878649120 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 878649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

878649120 is an abundant number, since it is smaller than the sum of its proper divisors (2335500000).

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

878649120 is an frugal number, since it uses more digits than its factorization.

878649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 878649120 is about 29642.0161257631. The cubic root of 878649120 is about 957.7933692829.

The spelling of 878649120 in words is "eight hundred seventy-eight million, six hundred forty-nine thousand, one hundred twenty".