805120800 has 144 divisors (see below), whose sum is σ = 2859004512. Its totient is φ = 195174400.

The previous prime is 805120787. The next prime is 805120817. The reversal of 805120800 is 8021508.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11152 + ... + 41648.

It is an arithmetic number, because the mean of its divisors is an integer number (19854198).

Almost surely, 2^805120800 is an apocalyptic number.

805120800 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 805120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429502256).

805120800 is an abundant number, since it is smaller than the sum of its proper divisors (2053883712).

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

805120800 is a wasteful number, since it uses less digits than its factorization.

805120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30531 (or 30518 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 805120800 is about 28374.6506586425. The cubic root of 805120800 is about 930.2942761648.

The spelling of 805120800 in words is "eight hundred five million, one hundred twenty thousand, eight hundred".