77665077760 has 80 divisors (see below), whose sum is σ = 186534998496. Its totient is φ = 31012507648.

The previous prime is 77665077739. The next prime is 77665077767. The reversal of 77665077760 is 6777056677.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 77665077695 and 77665077704.

It is not an unprimeable number, because it can be changed into a prime (77665077767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476879 + ... + 1528561.

Almost surely, 2^77665077760 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 77665077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93267499248).

77665077760 is an abundant number, since it is smaller than the sum of its proper divisors (108869920736).

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

77665077760 is an equidigital number, since it uses as much as digits as its factorization.

77665077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52293 (or 52277 counting only the distinct ones).

The product of its (nonzero) digits is 18151560, while the sum is 58.

The spelling of 77665077760 in words is "seventy-seven billion, six hundred sixty-five million, seventy-seven thousand, seven hundred sixty".