800272000 has 128 divisors (see below), whose sum is σ = 2171033280. Its totient is φ = 290944000.

The previous prime is 800271971. The next prime is 800272009. The reversal of 800272000 is 272008.

800272000 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 (128).

It is not an unprimeable number, because it can be changed into a prime (800272009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173727 + ... + 178273.

Almost surely, 2^800272000 is an apocalyptic number.

800272000 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 800272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085516640).

800272000 is an abundant number, since it is smaller than the sum of its proper divisors (1370761280).

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

800272000 is a wasteful number, since it uses less digits than its factorization.

800272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 800272000 is about 28289.0791649357. The cubic root of 800272000 is about 928.4229641480.

The spelling of 800272000 in words is "eight hundred million, two hundred seventy-two thousand".