7789282560 has 324 divisors, whose sum is σ = 28458372852. Its totient is φ = 1966768128.

The previous prime is 7789282559. The next prime is 7789282679. The reversal of 7789282560 is 652829877.

It is a happy number.

7789282560 is a `hidden beast` number, since 7 + 78 + 9 + 2 + 8 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1201038336 + 6588244224 = 34656^2 + 81168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7789282497 and 7789282506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4157784 + ... + 4159656.

Almost surely, 2^7789282560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7789282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229186426).

7789282560 is an abundant number, since it is smaller than the sum of its proper divisors (20669090292).

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

7789282560 is a wasteful number, since it uses less digits than its factorization.

7789282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7789282560 is about 88256.9122505427. The cubic root of 7789282560 is about 1982.2837438444.

The spelling of 7789282560 in words is "seven billion, seven hundred eighty-nine million, two hundred eighty-two thousand, five hundred sixty".