769288 has 24 divisors (see below), whose sum is σ = 1564650. Its totient is φ = 354432.

The previous prime is 769273. The next prime is 769289. The reversal of 769288 is 882967.

769288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 248004 + 521284 = 498^2 + 722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 769288.

It is not an unprimeable number, because it can be changed into a prime (769289) by changing a digit.

769288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1068 + ... + 1636.

2⁷⁶⁹²⁸⁸ 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 769288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782325).

769288 is an abundant number, since it is smaller than the sum of its proper divisors (795362).

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

769288 is a wasteful number, since it uses less digits than its factorization.

769288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 584 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 769288 is about 877.0906452585. The cubic root of 769288 is about 91.6283049767.

The spelling of 769288 in words is "seven hundred sixty-nine thousand, two hundred eighty-eight".