800985600 has 360 divisors, whose sum is σ = 3042545220. Its totient is φ = 200540160.

The previous prime is 800985589. The next prime is 800985611. The reversal of 800985600 is 6589008.

800985600 is a `hidden beast` number, since 8 + 0 + 0 + 98 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (800985589) and next prime (800985611).

It can be written as a sum of positive squares in 6 ways, for example, as 592240896 + 208744704 = 24336^2 + 14448^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1958196 + ... + 1958604.

Almost surely, 2^800985600 is an apocalyptic number.

800985600 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 800985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521272610).

800985600 is an abundant number, since it is smaller than the sum of its proper divisors (2241559620).

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

800985600 is a wasteful number, since it uses less digits than its factorization.

800985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 800985600 is about 28301.6889955352. The cubic root of 800985600 is about 928.6988394344.

The spelling of 800985600 in words is "eight hundred million, nine hundred eighty-five thousand, six hundred".