766782965160 has 320 divisors, whose sum is σ = 2664974315520. Its totient is φ = 197537771520.

The previous prime is 766782965093. The next prime is 766782965171. The reversal of 766782965160 is 61569287667.

It is a super-2 number, since 2×766782965160² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 60960792 + ... + 60973368.

It is an arithmetic number, because the mean of its divisors is an integer number (8328044736).

Almost surely, 2^766782965160 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 766782965160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332487157760).

766782965160 is an abundant number, since it is smaller than the sum of its proper divisors (1898191350360).

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

766782965160 is a wasteful number, since it uses less digits than its factorization.

766782965160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13238 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 766782965160 in words is "seven hundred sixty-six billion, seven hundred eighty-two million, nine hundred sixty-five thousand, one hundred sixty".