805785600000 has 768 divisors, whose sum is σ = 2793250595520. Its totient is φ = 206438400000.

The previous prime is 805785599989. The next prime is 805785600017. The reversal of 805785600000 is 6587508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 13209599970 + ... + 13209600030.

Almost surely, 2^805785600000 is an apocalyptic number.

805785600000 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 805785600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396625297760).

805785600000 is an abundant number, since it is smaller than the sum of its proper divisors (1987464995520).

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

805785600000 is an frugal number, since it uses more digits than its factorization.

805785600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 805785600000 in words is "eight hundred five billion, seven hundred eighty-five million, six hundred thousand".