7105082880 has 320 divisors, whose sum is σ = 26162611200. Its totient is φ = 1611300864.

The previous prime is 7105082863. The next prime is 7105082983. The reversal of 7105082880 is 882805017.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8009797 + ... + 8010683.

It is an arithmetic number, because the mean of its divisors is an integer number (81758160).

Almost surely, 2^7105082880 is an apocalyptic number.

7105082880 is a gapful number since it is divisible by the number (70) 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 7105082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081305600).

7105082880 is an abundant number, since it is smaller than the sum of its proper divisors (19057528320).

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

7105082880 is a wasteful number, since it uses less digits than its factorization.

7105082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 7105082880 is about 84291.6536793531. The cubic root of 7105082880 is about 1922.4558850990.

Adding to 7105082880 its reverse (882805017), we get a palindrome (7987887897).

The spelling of 7105082880 in words is "seven billion, one hundred five million, eighty-two thousand, eight hundred eighty".