801934000 has 200 divisors, whose sum is σ = 2275666848. Its totient is φ = 273302400.

The previous prime is 801933997. The next prime is 801934033. The reversal of 801934000 is 439108.

801934000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4801917 + ... + 4802083.

Almost surely, 2^801934000 is an apocalyptic number.

801934000 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 801934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137833424).

801934000 is an abundant number, since it is smaller than the sum of its proper divisors (1473732848).

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

801934000 is an equidigital number, since it uses as much as digits as its factorization.

801934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 801934000 is about 28318.4392225278. The cubic root of 801934000 is about 929.0652341120.

The spelling of 801934000 in words is "eight hundred one million, nine hundred thirty-four thousand".