768532755600 has 405 divisors, whose sum is σ = 2818444674123. Its totient is φ = 193903165440.

The previous prime is 768532755563. The next prime is 768532755607. The reversal of 768532755600 is 6557235867.

The square root of 768532755600 is 876660.

It is a perfect power (a square), and thus also a powerful number.

768532755600 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 3 + 2 + 75 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47609494416 + 720923261184 = 218196^2 + 849072^2 .

It is not an unprimeable number, because it can be changed into a prime (768532755607) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 999392016 + ... + 999392784.

Almost surely, 2^768532755600 is an apocalyptic number.

768532755600 is the 876660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768532755600

768532755600 is an abundant number, since it is smaller than the sum of its proper divisors (2049911918523).

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

768532755600 is a wasteful number, since it uses less digits than its factorization.

768532755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 768532755600 in words is "seven hundred sixty-eight billion, five hundred thirty-two million, seven hundred fifty-five thousand, six hundred".