805807440 has 280 divisors, whose sum is σ = 2886018408. Its totient is φ = 209018880.

The previous prime is 805807393. The next prime is 805807469. The reversal of 805807440 is 44708508.

805807440 is a `hidden beast` number, since 8 + 0 + 580 + 74 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 800663616 = 2268^2 + 28296^2 .

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 = 805807395 and 805807404.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 2390952 + ... + 2391288.

Almost surely, 2^805807440 is an apocalyptic number.

805807440 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 805807440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443009204).

805807440 is an abundant number, since it is smaller than the sum of its proper divisors (2080210968).

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

805807440 is a wasteful number, since it uses less digits than its factorization.

805807440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 805807440 is about 28386.7476122222. The cubic root of 805807440 is about 930.5586653745.

The spelling of 805807440 in words is "eight hundred five million, eight hundred seven thousand, four hundred forty".