879330816000 has 2080 divisors, whose sum is σ = 4052105785728. Its totient is φ = 184732876800.

The previous prime is 879330815947. The next prime is 879330816031. The reversal of 879330816000 is 618033978.

It is a happy number.

879330816000 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 30 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3773951884 + ... + 3773952116.

Almost surely, 2^879330816000 is an apocalyptic number.

879330816000 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 879330816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026052892864).

879330816000 is an abundant number, since it is smaller than the sum of its proper divisors (3172774969728).

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

879330816000 is a wasteful number, since it uses less digits than its factorization.

879330816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 879330816000 its reverse (618033978), we get a palindrome (879948849978).

The spelling of 879330816000 in words is "eight hundred seventy-nine billion, three hundred thirty million, eight hundred sixteen thousand".