766768757760 has 440 divisors, whose sum is σ = 2794325474160. Its totient is φ = 200999632896.

The previous prime is 766768757737. The next prime is 766768757761. The reversal of 766768757760 is 67757867667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766768757761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24452812 + ... + 24484148.

It is an arithmetic number, because the mean of its divisors is an integer number (6350739714).

Almost surely, 2^766768757760 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 766768757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397162737080).

766768757760 is an abundant number, since it is smaller than the sum of its proper divisors (2027556716400).

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

766768757760 is a wasteful number, since it uses less digits than its factorization.

766768757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31433 (or 31406 counting only the distinct ones).

The product of its (nonzero) digits is 871274880, while the sum is 72.

The spelling of 766768757760 in words is "seven hundred sixty-six billion, seven hundred sixty-eight million, seven hundred fifty-seven thousand, seven hundred sixty".