77625817866960 has 640 divisors, whose sum is σ = 274123618536960. Its totient is φ = 17999295283200.

The previous prime is 77625817866937. The next prime is 77625817867027. The reversal of 77625817866960 is 6966871852677.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3721800852 + ... + 3721821708.

It is an arithmetic number, because the mean of its divisors is an integer number (428318153964).

Almost surely, 2^{77625817866960} 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 77625817866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137061809268480).

77625817866960 is an abundant number, since it is smaller than the sum of its proper divisors (196497800670000).

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

77625817866960 is a wasteful number, since it uses less digits than its factorization.

77625817866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21367 (or 21361 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 78.

The spelling of 77625817866960 in words is "seventy-seven trillion, six hundred twenty-five billion, eight hundred seventeen million, eight hundred sixty-six thousand, nine hundred sixty".