766764795720 has 512 divisors, whose sum is σ = 3025963008000. Its totient is φ = 150586076160.

The previous prime is 766764795691. The next prime is 766764795743. The reversal of 766764795720 is 27597467667.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77768151 + ... + 77778009.

It is an arithmetic number, because the mean of its divisors is an integer number (5910084000).

Almost surely, 2^766764795720 is an apocalyptic number.

766764795720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766764795720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512981504000).

766764795720 is an abundant number, since it is smaller than the sum of its proper divisors (2259198212280).

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

766764795720 is a wasteful number, since it uses less digits than its factorization.

766764795720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 66.

The spelling of 766764795720 in words is "seven hundred sixty-six billion, seven hundred sixty-four million, seven hundred ninety-five thousand, seven hundred twenty".