769666128 has 240 divisors, whose sum is σ = 2564835840. Its totient is φ = 196627200.

The previous prime is 769666127. The next prime is 769666133. The reversal of 769666128 is 821666967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769666123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1836703 + ... + 1837121.

It is an arithmetic number, because the mean of its divisors is an integer number (10686816).

Almost surely, 2^769666128 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 769666128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

769666128 is an abundant number, since it is smaller than the sum of its proper divisors (1795169712).

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

769666128 is a wasteful number, since it uses less digits than its factorization.

769666128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 769666128 is about 27742.8572429013. The cubic root of 769666128 is about 916.4331519935.

The spelling of 769666128 in words is "seven hundred sixty-nine million, six hundred sixty-six thousand, one hundred twenty-eight".