800235072 has 336 divisors, whose sum is σ = 2951195520. Its totient is φ = 210760704.

The previous prime is 800235061. The next prime is 800235133. The reversal of 800235072 is 270532008.

800235072 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100373 + ... + 1101099.

It is an arithmetic number, because the mean of its divisors is an integer number (8783320).

Almost surely, 2^800235072 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 800235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475597760).

800235072 is an abundant number, since it is smaller than the sum of its proper divisors (2150960448).

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

800235072 is a wasteful number, since it uses less digits than its factorization.

800235072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 800235072 is about 28288.4264673735. The cubic root of 800235072 is about 928.4086834490.

The spelling of 800235072 in words is "eight hundred million, two hundred thirty-five thousand, seventy-two".