78841727764800 has 4032 divisors, whose sum is σ = 379622971146240. Its totient is φ = 13857951744000.

The previous prime is 78841727764771. The next prime is 78841727764801. The reversal of 78841727764800 is 846772714887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78841727764801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 36790352529 + ... + 36790354671.

Almost surely, 2^{78841727764800} is an apocalyptic number.

78841727764800 is a gapful number since it is divisible by the number (70) 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 78841727764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189811485573120).

78841727764800 is an abundant number, since it is smaller than the sum of its proper divisors (300781243381440).

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

78841727764800 is a wasteful number, since it uses less digits than its factorization.

78841727764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 236027904, while the sum is 69.

The spelling of 78841727764800 in words is "seventy-eight trillion, eight hundred forty-one billion, seven hundred twenty-seven million, seven hundred sixty-four thousand, eight hundred".