769646660 has 48 divisors (see below), whose sum is σ = 1678546800. Its totient is φ = 296077824.

The previous prime is 769646659. The next prime is 769646663. The reversal of 769646660 is 66646967.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 126922756 + 642723904 = 11266^2 + 25352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 769646599 and 769646608.

It is not an unprimeable number, because it can be changed into a prime (769646663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153554 + ... + 158486.

It is an arithmetic number, because the mean of its divisors is an integer number (34969725).

Almost surely, 2^769646660 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 769646660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839273400).

769646660 is an abundant number, since it is smaller than the sum of its proper divisors (908900140).

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

769646660 is a wasteful number, since it uses less digits than its factorization.

769646660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 50.

The square root of 769646660 is about 27742.5063755963. The cubic root of 769646660 is about 916.4254251492.

The spelling of 769646660 in words is "seven hundred sixty-nine million, six hundred forty-six thousand, six hundred sixty".