808828534800 has 480 divisors, whose sum is σ = 3382128946560. Its totient is φ = 180996249600.

The previous prime is 808828534769. The next prime is 808828534817. The reversal of 808828534800 is 8435828808.

808828534800 is a `hidden beast` number, since 8 + 0 + 8 + 8 + 28 + 534 + 80 + 0 = 666.

It is a super-2 number, since 2×808828534800² (a number of 25 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 1282542 + ... + 1806258.

It is an arithmetic number, because the mean of its divisors is an integer number (7046101972).

Almost surely, 2^808828534800 is an apocalyptic number.

808828534800 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 808828534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691064473280).

808828534800 is an abundant number, since it is smaller than the sum of its proper divisors (2573300411760).

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

808828534800 is a wasteful number, since it uses less digits than its factorization.

808828534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523768 (or 523751 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 808828534800 in words is "eight hundred eight billion, eight hundred twenty-eight million, five hundred thirty-four thousand, eight hundred".