77666795760 has 120 divisors (see below), whose sum is σ = 244781587440. Its totient is φ = 20371384320.

The previous prime is 77666795753. The next prime is 77666795777. The reversal of 77666795760 is 6759766677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 77666795691 and 77666795700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849556 + ... + 936524.

It is an arithmetic number, because the mean of its divisors is an integer number (2039846562).

Almost surely, 2^77666795760 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 77666795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122390793720).

77666795760 is an abundant number, since it is smaller than the sum of its proper divisors (167114791680).

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

77666795760 is a wasteful number, since it uses less digits than its factorization.

77666795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87107 (or 87040 counting only the distinct ones).

The product of its (nonzero) digits is 140026320, while the sum is 66.

The spelling of 77666795760 in words is "seventy-seven billion, six hundred sixty-six million, seven hundred ninety-five thousand, seven hundred sixty".