801288 has 48 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 257760.

The previous prime is 801277. The next prime is 801289. The reversal of 801288 is 882108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801288.

It is not an unprimeable number, because it can be changed into a prime (801289) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2053 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

2⁸⁰¹²⁸⁸ 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 801288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

801288 is an abundant number, since it is smaller than the sum of its proper divisors (1445112).

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

801288 is a wasteful number, since it uses less digits than its factorization.

801288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 801288 is about 895.1469153161. The cubic root of 801288 is about 92.8815696797.

It can be divided in two parts, 8012 and 88, that added together give a square (8100 = 90²).

The spelling of 801288 in words is "eight hundred one thousand, two hundred eighty-eight".