800888 has 32 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 344160.

The previous prime is 800879. The next prime is 800897. The reversal of 800888 is 888008.

It is an interprime number because it is at equal distance from previous prime (800879) and next prime (800897).

800888 is a modest number, since divided by 888 gives 800 as remainder.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800888.

It is an unprimeable number.

800888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1433 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁸⁰⁰⁸⁸⁸ is an apocalyptic number.

800888 is a gapful number since it is divisible by the number (88) 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 800888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

800888 is an abundant number, since it is smaller than the sum of its proper divisors (927112).

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

800888 is a wasteful number, since it uses less digits than its factorization.

800888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 800888 is about 894.9234604144. The cubic root of 800888 is about 92.8661117288.

The spelling of 800888 in words is "eight hundred thousand, eight hundred eighty-eight".