805882440 has 128 divisors (see below), whose sum is σ = 2653430400. Its totient is φ = 194181120.

The previous prime is 805882411. The next prime is 805882457. The reversal of 805882440 is 44288508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226596 + ... + 230124.

It is an arithmetic number, because the mean of its divisors is an integer number (20729925).

Almost surely, 2^805882440 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 805882440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326715200).

805882440 is an abundant number, since it is smaller than the sum of its proper divisors (1847547960).

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

805882440 is a wasteful number, since it uses less digits than its factorization.

805882440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 805882440 is about 28388.0686204610. The cubic root of 805882440 is about 930.5875348584.

It can be divided in two parts, 80588 and 2440, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 805882440 in words is "eight hundred five million, eight hundred eighty-two thousand, four hundred forty".