77160000000000 has 572 divisors, whose sum is σ = 257568549412496. Its totient is φ = 20544000000000.

The previous prime is 77159999999941. The next prime is 77160000000019. The reversal of 77160000000000 is 6177.

It is a junction number, because it is equal to n+sod(n) for n = 77159999999895 and 77159999999904.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 119999999679 + ... + 120000000321.

Almost surely, 2^{77160000000000} 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 77160000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128784274706248).

77160000000000 is an abundant number, since it is smaller than the sum of its proper divisors (180408549412496).

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

77160000000000 is an frugal number, since it uses more digits than its factorization.

77160000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

Adding to 77160000000000 its reverse (6177), we get a palindrome (77160000006177).

The spelling of 77160000000000 in words is "seventy-seven trillion, one hundred sixty billion", and thus it is an aban number.