805266981792 has 1152 divisors, whose sum is σ = 3027534741504. Its totient is φ = 197272018944.

The previous prime is 805266981619. The next prime is 805266981803. The reversal of 805266981792 is 297189662508.

805266981792 is a `hidden beast` number, since 8 + 0 + 526 + 6 + 9 + 8 + 17 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5129088978 + ... + 5129089134.

It is an arithmetic number, because the mean of its divisors is an integer number (2628068352).

Almost surely, 2^805266981792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805266981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513767370752).

805266981792 is an abundant number, since it is smaller than the sum of its proper divisors (2222267759712).

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

805266981792 is a wasteful number, since it uses less digits than its factorization.

805266981792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 805266981792 in words is "eight hundred five billion, two hundred sixty-six million, nine hundred eighty-one thousand, seven hundred ninety-two".