7720961160 has 256 divisors, whose sum is σ = 26411961600. Its totient is φ = 1788416000.

The previous prime is 7720961159. The next prime is 7720961167. The reversal of 7720961160 is 611690277.

It is a Cunningham number, because it is equal to 87869²-1.

It is a super-2 number, since 2×7720961160² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7720961167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3865282 + ... + 3867278.

It is an arithmetic number, because the mean of its divisors is an integer number (103171725).

Almost surely, 2^7720961160 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 7720961160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205980800).

7720961160 is an abundant number, since it is smaller than the sum of its proper divisors (18691000440).

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

7720961160 is a wasteful number, since it uses less digits than its factorization.

7720961160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 7720961160 is about 87868.9999943097. Note that the first 5 decimals coincide. The cubic root of 7720961160 is about 1976.4710429150.

The spelling of 7720961160 in words is "seven billion, seven hundred twenty million, nine hundred sixty-one thousand, one hundred sixty".