769312 has 24 divisors (see below), whose sum is σ = 1568700. Its totient is φ = 370944.

The previous prime is 769309. The next prime is 769319. The reversal of 769312 is 213967.

769312 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 2 ways, for example, as 767376 + 1936 = 876^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (769319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514 + ... + 1342.

2⁷⁶⁹³¹² 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 769312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784350).

769312 is an abundant number, since it is smaller than the sum of its proper divisors (799388).

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

769312 is a wasteful number, since it uses less digits than its factorization.

769312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 769312 is about 877.1043267480. The cubic root of 769312 is about 91.6292578302.

It can be divided in two parts, 769 and 312, that added together give a triangular number (1081 = T₄₆).

The spelling of 769312 in words is "seven hundred sixty-nine thousand, three hundred twelve".