78336000000000 has 1140 divisors, whose sum is σ = 299519398040148. Its totient is φ = 19660800000000.

The previous prime is 78335999999963. The next prime is 78336000000061. The reversal of 78336000000000 is 63387.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6603501993984 + 71732498006016 = 2569728^2 + 8469504^2 .

It is a super-3 number, since 3×78336000000000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4607999999992 + ... + 4608000000008.

Almost surely, 2^{78336000000000} 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 78336000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149759699020074).

78336000000000 is an abundant number, since it is smaller than the sum of its proper divisors (221183398040148).

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

78336000000000 is an frugal number, since it uses more digits than its factorization.

78336000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 78336000000000 its reverse (63387), we get a palindrome (78336000063387).

The spelling of 78336000000000 in words is "seventy-eight trillion, three hundred thirty-six billion", and thus it is an aban number.