800746752 has 144 divisors (see below), whose sum is σ = 2315606720. Its totient is φ = 244187136.

The previous prime is 800746721. The next prime is 800746757. The reversal of 800746752 is 257647008.

800746752 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 800746752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800746757) 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, 1387488 + ... + 1388064.

Almost surely, 2^800746752 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 800746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157803360).

800746752 is an abundant number, since it is smaller than the sum of its proper divisors (1514859968).

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

800746752 is a wasteful number, since it uses less digits than its factorization.

800746752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 800746752 is about 28297.4690034286. The cubic root of 800746752 is about 928.6065198753.

The spelling of 800746752 in words is "eight hundred million, seven hundred forty-six thousand, seven hundred fifty-two".