878592960 has 448 divisors, whose sum is σ = 3608832000. Its totient is φ = 197074944.

The previous prime is 878592937. The next prime is 878592971. The reversal of 878592960 is 69295878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 878592897 and 878592906.

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 63 ways as a sum of consecutive naturals, for example, 4414941 + ... + 4415139.

Almost surely, 2^878592960 is an apocalyptic number.

878592960 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 878592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804416000).

878592960 is an abundant number, since it is smaller than the sum of its proper divisors (2730239040).

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

878592960 is a wasteful number, since it uses less digits than its factorization.

878592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 878592960 is about 29641.0688066406. The cubic root of 878592960 is about 957.7729626457.

The spelling of 878592960 in words is "eight hundred seventy-eight million, five hundred ninety-two thousand, nine hundred sixty".