8104168800 has 1728 divisors, whose sum is σ = 39897446400. Its totient is φ = 1567641600.

The previous prime is 8104168799. The next prime is 8104168817. The reversal of 8104168800 is 88614018.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 261424785 + ... + 261424815.

It is an arithmetic number, because the mean of its divisors is an integer number (23088800).

Almost surely, 2^8104168800 is an apocalyptic number.

8104168800 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 8104168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948723200).

8104168800 is an abundant number, since it is smaller than the sum of its proper divisors (31793277600).

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

8104168800 is a wasteful number, since it uses less digits than its factorization.

8104168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8104168800 is about 90023.1570208466. The cubic root of 8104168800 is about 2008.6433259815.

The spelling of 8104168800 in words is "eight billion, one hundred four million, one hundred sixty-eight thousand, eight hundred".