805534840800 has 432 divisors, whose sum is σ = 3014750793600. Its totient is φ = 201693265920.

The previous prime is 805534840741. The next prime is 805534840829. The reversal of 805534840800 is 8048435508.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52991601 + ... + 53006799.

It is an arithmetic number, because the mean of its divisors is an integer number (6978589800).

Almost surely, 2^805534840800 is an apocalyptic number.

805534840800 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 805534840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507375396800).

805534840800 is an abundant number, since it is smaller than the sum of its proper divisors (2209215952800).

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

805534840800 is a wasteful number, since it uses less digits than its factorization.

805534840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15675 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 805534840800 in words is "eight hundred five billion, five hundred thirty-four million, eight hundred forty thousand, eight hundred".