879784224000 has 1728 divisors, whose sum is σ = 3480923496960. Its totient is φ = 196263936000.

The previous prime is 879784223999. The next prime is 879784224013. The reversal of 879784224000 is 422487978.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9885215956 + ... + 9885216044.

It is an arithmetic number, because the mean of its divisors is an integer number (2014423320).

Almost surely, 2^879784224000 is an apocalyptic number.

879784224000 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 879784224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740461748480).

879784224000 is an abundant number, since it is smaller than the sum of its proper divisors (2601139272960).

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

879784224000 is a wasteful number, since it uses less digits than its factorization.

879784224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 879784224000 in words is "eight hundred seventy-nine billion, seven hundred eighty-four million, two hundred twenty-four thousand".