7741161120 has 288 divisors, whose sum is σ = 30945571776. Its totient is φ = 1608499200.

The previous prime is 7741161107. The next prime is 7741161133. The reversal of 7741161120 is 211611477.

It is an interprime number because it is at equal distance from previous prime (7741161107) and next prime (7741161133).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243760 + ... + 273680.

It is an arithmetic number, because the mean of its divisors is an integer number (107449902).

Almost surely, 2^7741161120 is an apocalyptic number.

7741161120 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 7741161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472785888).

7741161120 is an abundant number, since it is smaller than the sum of its proper divisors (23204410656).

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

7741161120 is a wasteful number, since it uses less digits than its factorization.

7741161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29964 (or 29949 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 7741161120 is about 87983.8685214511. The cubic root of 7741161120 is about 1978.1931889923.

Adding to 7741161120 its reverse (211611477), we get a palindrome (7952772597).

It can be divided in two parts, 7741 and 161120, that added together give a palindrome (168861).

The spelling of 7741161120 in words is "seven billion, seven hundred forty-one million, one hundred sixty-one thousand, one hundred twenty".