800001144 has 64 divisors (see below), whose sum is σ = 2249049600. Its totient is φ = 263448288.

The previous prime is 800001131. The next prime is 800001151. The reversal of 800001144 is 441100008.

It is a Harshad number since it is a multiple of its sum of digits (18).

800001144 is a modest number, since divided by 1144 gives 800 as remainder.

It is a congruent number.

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, 4384 + ... + 40239.

It is an arithmetic number, because the mean of its divisors is an integer number (35141400).

Almost surely, 2^800001144 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 800001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124524800).

800001144 is an abundant number, since it is smaller than the sum of its proper divisors (1449048456).

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

800001144 is a wasteful number, since it uses less digits than its factorization.

800001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44721 (or 44711 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 800001144 is about 28284.2914707086. The cubic root of 800001144 is about 928.3182092205.

The spelling of 800001144 in words is "eight hundred million, one thousand, one hundred forty-four".