7889260680 has 640 divisors, whose sum is σ = 32060160000. Its totient is φ = 1737469440.

The previous prime is 7889260667. The next prime is 7889260721. The reversal of 7889260680 is 860629887.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34450806 + ... + 34451034.

It is an arithmetic number, because the mean of its divisors is an integer number (50094000).

Almost surely, 2^7889260680 is an apocalyptic number.

7889260680 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 7889260680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030080000).

7889260680 is an abundant number, since it is smaller than the sum of its proper divisors (24170899320).

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

7889260680 is a wasteful number, since it uses less digits than its factorization.

7889260680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7889260680 is about 88821.5102326008. The cubic root of 7889260680 is about 1990.7288122812.

The spelling of 7889260680 in words is "seven billion, eight hundred eighty-nine million, two hundred sixty thousand, six hundred eighty".