800745264 has 210 divisors, whose sum is σ = 2570093316. Its totient is φ = 239578560.

The previous prime is 800745241. The next prime is 800745301. The reversal of 800745264 is 462547008.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 10135977 + ... + 10136055.

Almost surely, 2^800745264 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 800745264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285046658).

800745264 is an abundant number, since it is smaller than the sum of its proper divisors (1769348052).

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

800745264 is an equidigital number, since it uses as much as digits as its factorization.

800745264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 800745264 is about 28297.4427113123. The cubic root of 800745264 is about 928.6059446758.

The spelling of 800745264 in words is "eight hundred million, seven hundred forty-five thousand, two hundred sixty-four".