800545440 has 96 divisors (see below), whose sum is σ = 2527156800. Its totient is φ = 213018624.

The previous prime is 800545397. The next prime is 800545463. The reversal of 800545440 is 44545008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 800545398 and 800545407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261036 + ... + 264084.

It is an arithmetic number, because the mean of its divisors is an integer number (26324550).

Almost surely, 2^800545440 is an apocalyptic number.

800545440 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 800545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263578400).

800545440 is an abundant number, since it is smaller than the sum of its proper divisors (1726611360).

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

800545440 is a wasteful number, since it uses less digits than its factorization.

800545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 800545440 is about 28293.9117125929. The cubic root of 800545440 is about 928.5286944774.

The spelling of 800545440 in words is "eight hundred million, five hundred forty-five thousand, four hundred forty".