8205394780800 has 1536 divisors, whose sum is σ = 36462666240000. Its totient is φ = 1760237568000.

The previous prime is 8205394780771. The next prime is 8205394780813. The reversal of 8205394780800 is 80874935028.

It is a happy number.

8205394780800 is a `hidden beast` number, since 8 + 20 + 539 + 4 + 7 + 8 + 0 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1252537525 + ... + 1252544075.

It is an arithmetic number, because the mean of its divisors is an integer number (23738715000).

Almost surely, 2^{8205394780800} is an apocalyptic number.

8205394780800 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 8205394780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231333120000).

8205394780800 is an abundant number, since it is smaller than the sum of its proper divisors (28257271459200).

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

8205394780800 is a wasteful number, since it uses less digits than its factorization.

8205394780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8205394780800 in words is "eight trillion, two hundred five billion, three hundred ninety-four million, seven hundred eighty thousand, eight hundred".