78832512000 has 528 divisors, whose sum is σ = 309953857824. Its totient is φ = 19107840000.

The previous prime is 78832511999. The next prime is 78832512023. The reversal of 78832512000 is 21523887.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 12668890 + ... + 12675110.

Almost surely, 2^78832512000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78832512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154976928912).

78832512000 is an abundant number, since it is smaller than the sum of its proper divisors (231121345824).

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

78832512000 is a wasteful number, since it uses less digits than its factorization.

78832512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 78832512000 in words is "seventy-eight billion, eight hundred thirty-two million, five hundred twelve thousand".