8078481226800 has 480 divisors, whose sum is σ = 29044688322560. Its totient is φ = 2132515123200.

The previous prime is 8078481226787. The next prime is 8078481226801. The reversal of 8078481226800 is 86221848708.

8078481226800 is a `hidden beast` number, since 80 + 7 + 8 + 481 + 2 + 2 + 6 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8078481226801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 635044440 + ... + 635057160.

Almost surely, 2^{8078481226800} is an apocalyptic number.

8078481226800 is a gapful number since it is divisible by the number (80) 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 8078481226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522344161280).

8078481226800 is an abundant number, since it is smaller than the sum of its proper divisors (20966207095760).

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

8078481226800 is a wasteful number, since it uses less digits than its factorization.

8078481226800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13338 (or 13321 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 8078481226800 in words is "eight trillion, seventy-eight billion, four hundred eighty-one million, two hundred twenty-six thousand, eight hundred".