800737728 has 112 divisors (see below), whose sum is σ = 2461223424. Its totient is φ = 225008640.

The previous prime is 800737711. The next prime is 800737741. The reversal of 800737728 is 827737008.

800737728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 800737728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77101 + ... + 86867.

Almost surely, 2^800737728 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 800737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230611712).

800737728 is an abundant number, since it is smaller than the sum of its proper divisors (1660485696).

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

800737728 is a wasteful number, since it uses less digits than its factorization.

800737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 800737728 is about 28297.3095540901. The cubic root of 800737728 is about 928.6030315578.

The spelling of 800737728 in words is "eight hundred million, seven hundred thirty-seven thousand, seven hundred twenty-eight".