800072832 has 128 divisors (see below), whose sum is σ = 2300679360. Its totient is φ = 244887552.

The previous prime is 800072827. The next prime is 800072879. The reversal of 800072832 is 238270008.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 800072832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462383 + ... + 1462929.

Almost surely, 2^800072832 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 800072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150339680).

800072832 is an abundant number, since it is smaller than the sum of its proper divisors (1500606528).

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

800072832 is a wasteful number, since it uses less digits than its factorization.

800072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 800072832 is about 28285.5587181869. The cubic root of 800072832 is about 928.3459372175.

The spelling of 800072832 in words is "eight hundred million, seventy-two thousand, eight hundred thirty-two".