805122341215920 has 1920 divisors, whose sum is σ = 3635132403302400. Its totient is φ = 164391676968960.

The previous prime is 805122341215903. The next prime is 805122341215921. The reversal of 805122341215920 is 29512143221508.

It is a happy number.

805122341215920 is a `hidden beast` number, since 8 + 0 + 5 + 1 + 2 + 2 + 34 + 1 + 21 + 592 + 0 = 666.

It is a super-2 number, since 2×805122341215920² (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (805122341215921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2687021952 + ... + 2687321568.

It is an arithmetic number, because the mean of its divisors is an integer number (1893298126720).

Almost surely, 2^{805122341215920} is an apocalyptic number.

805122341215920 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 805122341215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817566201651200).

805122341215920 is an abundant number, since it is smaller than the sum of its proper divisors (2830010062086480).

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

805122341215920 is a wasteful number, since it uses less digits than its factorization.

805122341215920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299710 (or 299678 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 805122341215920 in words is "eight hundred five trillion, one hundred twenty-two billion, three hundred forty-one million, two hundred fifteen thousand, nine hundred twenty".