7788106216800 has 3456 divisors, whose sum is σ = 38381343436800. Its totient is φ = 1506503577600.

The previous prime is 7788106216771. The next prime is 7788106216837. The reversal of 7788106216800 is 86126018877.

It is a happy number.

7788106216800 is a `hidden beast` number, since 7 + 7 + 8 + 8 + 1 + 0 + 621 + 6 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 251229232785 + ... + 251229232815.

It is an arithmetic number, because the mean of its divisors is an integer number (11105712800).

Almost surely, 2^{7788106216800} is an apocalyptic number.

7788106216800 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 7788106216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190671718400).

7788106216800 is an abundant number, since it is smaller than the sum of its proper divisors (30593237220000).

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

7788106216800 is a wasteful number, since it uses less digits than its factorization.

7788106216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 7788106216800 in words is "seven trillion, seven hundred eighty-eight billion, one hundred six million, two hundred sixteen thousand, eight hundred".