800260000000 has 144 divisors (see below), whose sum is σ = 1996787271024. Its totient is φ = 320096000000.

The previous prime is 800259999997. The next prime is 800260000009. The reversal of 800260000000 is 62008.

It can be written as a sum of positive squares in 8 ways, for example, as 594478008576 + 205781991424 = 771024^2 + 453632^2 .

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

It is not an unprimeable number, because it can be changed into a prime (800260000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19979994 + ... + 20020006.

It is an arithmetic number, because the mean of its divisors is an integer number (13866578271).

Almost surely, 2^800260000000 is an apocalyptic number.

800260000000 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 800260000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998393635512).

800260000000 is an abundant number, since it is smaller than the sum of its proper divisors (1196527271024).

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

800260000000 is an frugal number, since it uses more digits than its factorization.

800260000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40064 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 800260000000 its reverse (62008), we get a palindrome (800260062008).

The spelling of 800260000000 in words is "eight hundred billion, two hundred sixty million", and thus it is an aban number.