801447040 has 64 divisors (see below), whose sum is σ = 1920915000. Its totient is φ = 319750144.

The previous prime is 801446977. The next prime is 801447041. The reversal of 801447040 is 40744108.

It can be written as a sum of positive squares in 4 ways, for example, as 710968896 + 90478144 = 26664^2 + 9512^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (801447041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285966 + ... + 288754.

Almost surely, 2^801447040 is an apocalyptic number.

801447040 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 801447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960457500).

801447040 is an abundant number, since it is smaller than the sum of its proper divisors (1119467960).

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

801447040 is a wasteful number, since it uses less digits than its factorization.

801447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 801447040 is about 28309.8399854185. The cubic root of 801447040 is about 928.8771433167.

The spelling of 801447040 in words is "eight hundred one million, four hundred forty-seven thousand, forty".