8002600000 has 84 divisors (see below), whose sum is σ = 19849424868. Its totient is φ = 3200960000.

The previous prime is 8002599989. The next prime is 8002600027. The reversal of 8002600000 is 62008.

It can be written as a sum of positive squares in 6 ways, for example, as 6814832704 + 1187767296 = 82552^2 + 34464^2 .

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

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, 179994 + ... + 220006.

It is an arithmetic number, because the mean of its divisors is an integer number (236302677).

Almost surely, 2^8002600000 is an apocalyptic number.

8002600000 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 8002600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924712434).

8002600000 is an abundant number, since it is smaller than the sum of its proper divisors (11846824868).

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

8002600000 is an frugal number, since it uses more digits than its factorization.

8002600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40050 (or 40020 counting only the distinct ones).

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

The square root of 8002600000 is about 89457.2523611138. The cubic root of 8002600000 is about 2000.2166431987.

Adding to 8002600000 its reverse (62008), we get a palindrome (8002662008).

The spelling of 8002600000 in words is "eight billion, two million, six hundred thousand".