8027261120 has 112 divisors (see below), whose sum is σ = 19356019200. Its totient is φ = 3170688000.

The previous prime is 8027261029. The next prime is 8027261147. The reversal of 8027261120 is 211627208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11164121 + ... + 11164839.

It is an arithmetic number, because the mean of its divisors is an integer number (172821600).

Almost surely, 2^8027261120 is an apocalyptic number.

8027261120 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 8027261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678009600).

8027261120 is an abundant number, since it is smaller than the sum of its proper divisors (11328758080).

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

8027261120 is a wasteful number, since it uses less digits than its factorization.

8027261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8027261120 is about 89594.9837881564. The cubic root of 8027261120 is about 2002.2691844273.

Adding to 8027261120 its reverse (211627208), we get a palindrome (8238888328).

The spelling of 8027261120 in words is "eight billion, twenty-seven million, two hundred sixty-one thousand, one hundred twenty".