805796992 has 256 divisors, whose sum is σ = 2275660800. Its totient is φ = 273715200.

The previous prime is 805796941. The next prime is 805797017. The reversal of 805796992 is 299697508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2434267 + ... + 2434597.

It is an arithmetic number, because the mean of its divisors is an integer number (8889300).

Almost surely, 2^805796992 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 805796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137830400).

805796992 is an abundant number, since it is smaller than the sum of its proper divisors (1469863808).

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

805796992 is a wasteful number, since it uses less digits than its factorization.

805796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The square root of 805796992 is about 28386.5635820893. The cubic root of 805796992 is about 930.5546435207.

It can be divided in two parts, 80579 and 6992, that added together give a triangular number (87571 = T₄₁₈).

The spelling of 805796992 in words is "eight hundred five million, seven hundred ninety-six thousand, nine hundred ninety-two".