77160097080 has 384 divisors, whose sum is σ = 294000295680. Its totient is φ = 17341378560.

The previous prime is 77160096967. The next prime is 77160097111. The reversal of 77160097080 is 8079006177.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4501887 + ... + 4518993.

It is an arithmetic number, because the mean of its divisors is an integer number (765625770).

Almost surely, 2^77160097080 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 77160097080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147000147840).

77160097080 is an abundant number, since it is smaller than the sum of its proper divisors (216840198600).

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

77160097080 is a wasteful number, since it uses less digits than its factorization.

77160097080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17219 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 77160097080 in words is "seventy-seven billion, one hundred sixty million, ninety-seven thousand, eighty".