808347340800 has 780 divisors, whose sum is σ = 3068634269316. Its totient is φ = 210213273600.

The previous prime is 808347340783. The next prime is 808347340831. The reversal of 808347340800 is 8043743808.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 170086957056 + 638260383744 = 412416^2 + 798912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 340069212 + ... + 340071588.

Almost surely, 2^808347340800 is an apocalyptic number.

808347340800 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 808347340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534317134658).

808347340800 is an abundant number, since it is smaller than the sum of its proper divisors (2260286928516).

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

808347340800 is a wasteful number, since it uses less digits than its factorization.

808347340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 808347340800 in words is "eight hundred eight billion, three hundred forty-seven million, three hundred forty thousand, eight hundred".