805435792224 has 384 divisors, whose sum is σ = 2556384509952. Its totient is φ = 217083525120.

The previous prime is 805435792223. The next prime is 805435792243. The reversal of 805435792224 is 422297534508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805435792223) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 355285939 + ... + 355288205.

It is an arithmetic number, because the mean of its divisors is an integer number (6657251328).

Almost surely, 2^805435792224 is an apocalyptic number.

805435792224 is a gapful number since it is divisible by the number (84) 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 805435792224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278192254976).

805435792224 is an abundant number, since it is smaller than the sum of its proper divisors (1750948717728).

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

805435792224 is a wasteful number, since it uses less digits than its factorization.

805435792224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 805435792224 in words is "eight hundred five billion, four hundred thirty-five million, seven hundred ninety-two thousand, two hundred twenty-four".