800005000 has 40 divisors (see below), whose sum is σ = 1874423430. Its totient is φ = 320000000.

The previous prime is 800004979. The next prime is 800005007. The reversal of 800005000 is 500008.

It can be written as a sum of positive squares in 5 ways, for example, as 183277444 + 616727556 = 13538^2 + 24834^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800005007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 75001 + ... + 85000.

Almost surely, 2^800005000 is an apocalyptic number.

It is an amenable number.

800005000 is an abundant number, since it is smaller than the sum of its proper divisors (1074418430).

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

800005000 is a wasteful number, since it uses less digits than its factorization.

800005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160027 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 800005000 is about 28284.3596356714. The cubic root of 800005000 is about 928.3197007139.

Adding to 800005000 its reverse (500008), we get a palindrome (800505008).

It can be divided in two parts, 80000 and 5000, that multiplied together give a square (400000000 = 20000²).

The spelling of 800005000 in words is "eight hundred million, five thousand".