769128 has 32 divisors (see below), whose sum is σ = 1953600. Its totient is φ = 252288.

The previous prime is 769123. The next prime is 769147. The reversal of 769128 is 821967.

It is a Cunningham number, because it is equal to 877²-1.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 769128.

It is not an unprimeable number, because it can be changed into a prime (769123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1533 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (61050).

2⁷⁶⁹¹²⁸ is an apocalyptic number.

It is an amenable number.

769128 is an abundant number, since it is smaller than the sum of its proper divisors (1184472).

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

769128 is a wasteful number, since it uses less digits than its factorization.

769128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 517 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 769128 is about 876.9994298744. Note that the first 3 decimals coincide. The cubic root of 769128 is about 91.6219521130.

The spelling of 769128 in words is "seven hundred sixty-nine thousand, one hundred twenty-eight".