801888000 has 144 divisors (see below), whose sum is σ = 2663789856. Its totient is φ = 213811200.

The previous prime is 801887969. The next prime is 801888029. The reversal of 801888000 is 888108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91824 + ... + 100176.

Almost surely, 2^801888000 is an apocalyptic number.

801888000 is a gapful number since it is divisible by the number (80) 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 801888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331894928).

801888000 is an abundant number, since it is smaller than the sum of its proper divisors (1861901856).

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

801888000 is an equidigital number, since it uses as much as digits as its factorization.

801888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8387 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 801888000 is about 28317.6270192260. The cubic root of 801888000 is about 929.0474696334.

It can be divided in two parts, 80188 and 8000, that added together give a palindrome (88188).

The spelling of 801888000 in words is "eight hundred one million, eight hundred eighty-eight thousand".