7788121228800 has 720 divisors, whose sum is σ = 31531573225152. Its totient is φ = 1888021094400.

The previous prime is 7788121228799. The next prime is 7788121228813. The reversal of 7788121228800 is 88221218877.

It is a happy number.

7788121228800 is a `hidden beast` number, since 7 + 78 + 81 + 212 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34100587 + ... + 34328213.

Almost surely, 2^{7788121228800} 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 7788121228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765786612576).

7788121228800 is an abundant number, since it is smaller than the sum of its proper divisors (23743451996352).

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

7788121228800 is a wasteful number, since it uses less digits than its factorization.

7788121228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227681 (or 227648 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 7788121228800 in words is "seven trillion, seven hundred eighty-eight billion, one hundred twenty-one million, two hundred twenty-eight thousand, eight hundred".