805946240 has 128 divisors (see below), whose sum is σ = 2115072000. Its totient is φ = 291235840.

The previous prime is 805946209. The next prime is 805946257. The reversal of 805946240 is 42649508.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 805946194 and 805946203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682321 + ... + 1682799.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2^805946240 is an apocalyptic number.

805946240 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 805946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057536000).

805946240 is an abundant number, since it is smaller than the sum of its proper divisors (1309125760).

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

805946240 is a wasteful number, since it uses less digits than its factorization.

805946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 805946240 is about 28389.1923097506. The cubic root of 805946240 is about 930.6120917561.

The spelling of 805946240 in words is "eight hundred five million, nine hundred forty-six thousand, two hundred forty".