800272251 has 8 divisors (see below), whose sum is σ = 1185588560. Its totient is φ = 533514816.

The previous prime is 800272219. The next prime is 800272259. The reversal of 800272251 is 152272008.

It is not a de Polignac number, because 800272251 - 2⁵ = 800272219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 29639713 = 800272251 / (8 + 0 + 0 + 2 + 7 + 2 + 2 + 5 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800272259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14819830 + ... + 14819883.

It is an arithmetic number, because the mean of its divisors is an integer number (148198570).

Almost surely, 2^800272251 is an apocalyptic number.

800272251 is a deficient number, since it is larger than the sum of its proper divisors (385316309).

800272251 is a wasteful number, since it uses less digits than its factorization.

800272251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29639722 (or 29639716 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 800272251 is about 28289.0836012763. The cubic root of 800272251 is about 928.4230612125.

The spelling of 800272251 in words is "eight hundred million, two hundred seventy-two thousand, two hundred fifty-one".