766677239328 has 864 divisors, whose sum is σ = 2805717362112. Its totient is φ = 181149696000.

The previous prime is 766677239323. The next prime is 766677239387. The reversal of 766677239328 is 823932776667.

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

It is not an unprimeable number, because it can be changed into a prime (766677239323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 638365128 + ... + 638366328.

It is an arithmetic number, because the mean of its divisors is an integer number (3247358058).

Almost surely, 2^766677239328 is an apocalyptic number.

766677239328 is a gapful number since it is divisible by the number (78) 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 766677239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402858681056).

766677239328 is an abundant number, since it is smaller than the sum of its proper divisors (2039040122784).

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

766677239328 is a wasteful number, since it uses less digits than its factorization.

766677239328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1310 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 66.

The spelling of 766677239328 in words is "seven hundred sixty-six billion, six hundred seventy-seven million, two hundred thirty-nine thousand, three hundred twenty-eight".