878579424000 has 432 divisors, whose sum is σ = 3166294010880. Its totient is φ = 233924198400.

The previous prime is 878579423941. The next prime is 878579424017. The reversal of 878579424000 is 424975878.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221470017 + ... + 221473983.

Almost surely, 2^878579424000 is an apocalyptic number.

878579424000 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 878579424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583147005440).

878579424000 is an abundant number, since it is smaller than the sum of its proper divisors (2287714586880).

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

878579424000 is a wasteful number, since it uses less digits than its factorization.

878579424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 878579424000 in words is "eight hundred seventy-eight billion, five hundred seventy-nine million, four hundred twenty-four thousand".