800128 has 64 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 317952.

The previous prime is 800123. The next prime is 800131. The reversal of 800128 is 821008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800123) by changing a digit.

800128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17001 + ... + 17047.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2⁸⁰⁰¹²⁸ 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 800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

800128 is an abundant number, since it is smaller than the sum of its proper divisors (1158272).

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

800128 is a wasteful number, since it uses less digits than its factorization.

800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 800128 is about 894.4987423133. The cubic root of 800128 is about 92.8367274363.

It can be divided in two parts, 800 and 128, that multiplied together give a square (102400 = 320²).

The spelling of 800128 in words is "eight hundred thousand, one hundred twenty-eight".