808106140800 has 576 divisors, whose sum is σ = 3438737228160. Its totient is φ = 176678092800.

The previous prime is 808106140789. The next prime is 808106140813. The reversal of 808106140800 is 8041601808.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 4549660 + ... + 4723940.

It is an arithmetic number, because the mean of its divisors is an integer number (5970029910).

Almost surely, 2^808106140800 is an apocalyptic number.

808106140800 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 808106140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719368614080).

808106140800 is an abundant number, since it is smaller than the sum of its proper divisors (2630631087360).

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

808106140800 is a wasteful number, since it uses less digits than its factorization.

808106140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174341 (or 174321 counting only the distinct ones).

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

The spelling of 808106140800 in words is "eight hundred eight billion, one hundred six million, one hundred forty thousand, eight hundred".