800568080 has 80 divisors (see below), whose sum is σ = 2122457904. Its totient is φ = 278200320.

The previous prime is 800568077. The next prime is 800568103. The reversal of 800568080 is 80865008.

It can be written as a sum of positive squares in 8 ways, for example, as 5779216 + 794788864 = 2404^2 + 28192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 800568080.

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, 4961 + ... + 40320.

Almost surely, 2^800568080 is an apocalyptic number.

800568080 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 800568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061228952).

800568080 is an abundant number, since it is smaller than the sum of its proper divisors (1321889824).

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

800568080 is a wasteful number, since it uses less digits than its factorization.

800568080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45324 (or 45318 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 800568080 is about 28294.3117958363. The cubic root of 800568080 is about 928.5374475477.

The spelling of 800568080 in words is "eight hundred million, five hundred sixty-eight thousand, eighty".