800780800 has 120 divisors (see below), whose sum is σ = 2013521796. Its totient is φ = 315555840.

The previous prime is 800780797. The next prime is 800780833. The reversal of 800780800 is 8087008.

800780800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 516925696 + 283855104 = 22736^2 + 16848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933972 + ... + 934828.

Almost surely, 2^800780800 is an apocalyptic number.

800780800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006760898).

800780800 is an abundant number, since it is smaller than the sum of its proper divisors (1212740996).

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

800780800 is an equidigital number, since it uses as much as digits as its factorization.

800780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 800780800 is about 28298.0706056084. The cubic root of 800780800 is about 928.6196812344.

The spelling of 800780800 in words is "eight hundred million, seven hundred eighty thousand, eight hundred".