801288000 has 336 divisors, whose sum is σ = 2967045120. Its totient is φ = 206208000.

The previous prime is 801287989. The next prime is 801288017. The reversal of 801288000 is 882108.

801288000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231821 + ... + 2232179.

Almost surely, 2^801288000 is an apocalyptic number.

801288000 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 801288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483522560).

801288000 is an abundant number, since it is smaller than the sum of its proper divisors (2165757120).

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

801288000 is a wasteful number, since it uses less digits than its factorization.

801288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

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

The square root of 801288000 is about 28307.0309287286. The cubic root of 801288000 is about 928.8156967971.

The spelling of 801288000 in words is "eight hundred one million, two hundred eighty-eight thousand".