801160000 has 70 divisors (see below), whose sum is σ = 1986715610. Its totient is φ = 320448000.

The previous prime is 801159991. The next prime is 801160007. The reversal of 801160000 is 61108.

It can be written as a sum of positive squares in 5 ways, for example, as 413227584 + 387932416 = 20328^2 + 19696^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801160007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 29986 + ... + 50014.

Almost surely, 2^801160000 is an apocalyptic number.

801160000 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 801160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993357805).

801160000 is an abundant number, since it is smaller than the sum of its proper divisors (1185555610).

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

801160000 is an equidigital number, since it uses as much as digits as its factorization.

801160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20061 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 801160000 is about 28304.7699160407. The cubic root of 801160000 is about 928.7662369523.

It can be divided in two parts, 801 and 160000, that added together give a square (160801 = 401²).

The spelling of 801160000 in words is "eight hundred one million, one hundred sixty thousand".