800065800 has 288 divisors, whose sum is σ = 2836459080. Its totient is φ = 201830400.

The previous prime is 800065753. The next prime is 800065811. The reversal of 800065800 is 8560008.

800065800 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 658 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 165328164 + 634737636 = 12858^2 + 25194^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2730454 + ... + 2730746.

Almost surely, 2^800065800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418229540).

800065800 is an abundant number, since it is smaller than the sum of its proper divisors (2036393280).

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

800065800 is a wasteful number, since it uses less digits than its factorization.

800065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 800065800 is about 28285.4344141998. The cubic root of 800065800 is about 928.3432174036.

The spelling of 800065800 in words is "eight hundred million, sixty-five thousand, eight hundred".