766476028704 has 192 divisors, whose sum is σ = 2217016811520. Its totient is φ = 230936832000.

The previous prime is 766476028699. The next prime is 766476028733. The reversal of 766476028704 is 407820674667.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3919164 + ... + 4110084.

It is an arithmetic number, because the mean of its divisors is an integer number (11546962560).

Almost surely, 2^766476028704 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 766476028704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108508405760).

766476028704 is an abundant number, since it is smaller than the sum of its proper divisors (1450540782816).

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

766476028704 is a wasteful number, since it uses less digits than its factorization.

766476028704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191055 (or 191047 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 766476028704 in words is "seven hundred sixty-six billion, four hundred seventy-six million, twenty-eight thousand, seven hundred four".