805069440 has 384 divisors, whose sum is σ = 3261323520. Its totient is φ = 179159040.

The previous prime is 805069409. The next prime is 805069453. The reversal of 805069440 is 44960508.

805069440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 805069395 and 805069404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652877 + ... + 1653363.

It is an arithmetic number, because the mean of its divisors is an integer number (8493030).

Almost surely, 2^805069440 is an apocalyptic number.

805069440 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 805069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630661760).

805069440 is an abundant number, since it is smaller than the sum of its proper divisors (2456254080).

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

805069440 is a wasteful number, since it uses less digits than its factorization.

805069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 805069440 is about 28373.7456110398. The cubic root of 805069440 is about 930.2744940691.

The spelling of 805069440 in words is "eight hundred five million, sixty-nine thousand, four hundred forty".