800918280 has 384 divisors, whose sum is σ = 2957834880. Its totient is φ = 194088960.

The previous prime is 800918273. The next prime is 800918281. The reversal of 800918280 is 82819008.

800918280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (800918281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6113815 + ... + 6113945.

It is an arithmetic number, because the mean of its divisors is an integer number (7702695).

Almost surely, 2^800918280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800918280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478917440).

800918280 is an abundant number, since it is smaller than the sum of its proper divisors (2156916600).

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

800918280 is a wasteful number, since it uses less digits than its factorization.

800918280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 800918280 is about 28300.4996422325. The cubic root of 800918280 is about 928.6728207571.

The spelling of 800918280 in words is "eight hundred million, nine hundred eighteen thousand, two hundred eighty".