801447840 has 144 divisors (see below), whose sum is σ = 2746434600. Its totient is φ = 212822016.

The previous prime is 801447839. The next prime is 801447877. The reversal of 801447840 is 48744108.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 297355536 + 504092304 = 17244^2 + 22452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 801447795 and 801447804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386326 + ... + 388394.

Almost surely, 2^801447840 is an apocalyptic number.

801447840 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 801447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373217300).

801447840 is an abundant number, since it is smaller than the sum of its proper divisors (1944986760).

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

801447840 is a wasteful number, since it uses less digits than its factorization.

801447840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 801447840 is about 28309.8541147778. The cubic root of 801447840 is about 928.8774523833.

The spelling of 801447840 in words is "eight hundred one million, four hundred forty-seven thousand, eight hundred forty".