800144568 has 256 divisors, whose sum is σ = 2479680000. Its totient is φ = 241024896.

The previous prime is 800144567. The next prime is 800144599. The reversal of 800144568 is 865441008.

800144568 is a `hidden beast` number, since 80 + 0 + 14 + 4 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800144567) 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 63 ways as a sum of consecutive naturals, for example, 9640255 + ... + 9640337.

It is an arithmetic number, because the mean of its divisors is an integer number (9686250).

Almost surely, 2^800144568 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 800144568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840000).

800144568 is an abundant number, since it is smaller than the sum of its proper divisors (1679535432).

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

800144568 is a wasteful number, since it uses less digits than its factorization.

800144568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 800144568 is about 28286.8267573441. The cubic root of 800144568 is about 928.3736821224.

The spelling of 800144568 in words is "eight hundred million, one hundred forty-four thousand, five hundred sixty-eight".