7741560960 has 768 divisors, whose sum is σ = 32818867200. Its totient is φ = 1718599680.

The previous prime is 7741560917. The next prime is 7741560989. The reversal of 7741560960 is 690651477.

It is a happy number.

It is a super-2 number, since 2×7741560960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34715409 + ... + 34715631.

It is an arithmetic number, because the mean of its divisors is an integer number (42732900).

Almost surely, 2^7741560960 is an apocalyptic number.

7741560960 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 7741560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409433600).

7741560960 is an abundant number, since it is smaller than the sum of its proper divisors (25077306240).

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

7741560960 is a wasteful number, since it uses less digits than its factorization.

7741560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7741560960 is about 87986.1407268213. The cubic root of 7741560960 is about 1978.2272470677.

The spelling of 7741560960 in words is "seven billion, seven hundred forty-one million, five hundred sixty thousand, nine hundred sixty".