78283067572800 has 2016 divisors, whose sum is σ = 322914932121600. Its totient is φ = 17874040504320.

The previous prime is 78283067572763. The next prime is 78283067572817. The reversal of 78283067572800 is 827576038287.

78283067572800 is a `hidden beast` number, since 7 + 8 + 28 + 30 + 6 + 7 + 572 + 8 + 0 + 0 = 666.

78283067572800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78283067572800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8577081837 + ... + 8577090963.

It is an arithmetic number, because the mean of its divisors is an integer number (160176057600).

Almost surely, 2^{78283067572800} 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 78283067572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161457466060800).

78283067572800 is an abundant number, since it is smaller than the sum of its proper divisors (244631864548800).

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

78283067572800 is a wasteful number, since it uses less digits than its factorization.

78283067572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9273 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 78283067572800 in words is "seventy-eight trillion, two hundred eighty-three billion, sixty-seven million, five hundred seventy-two thousand, eight hundred".