769104 has 90 divisors (see below), whose sum is σ = 2526810. Its totient is φ = 217728.

The previous prime is 769091. The next prime is 769117. The reversal of 769104 is 401967.

769104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (769091) and next prime (769117).

It can be written as a sum of positive squares in only one way, i.e., 705600 + 63504 = 840^2 + 252^2 .

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 769104.

It is an unprimeable number.

769104 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 17 ways as a sum of consecutive naturals, for example, 7002 + ... + 7110.

2⁷⁶⁹¹⁰⁴ 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 769104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263405).

769104 is an abundant number, since it is smaller than the sum of its proper divisors (1757706).

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

769104 is a wasteful number, since it uses less digits than its factorization.

769104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 769104 is about 876.9857467485. The cubic root of 769104 is about 91.6209991075.

It can be divided in two parts, 76 and 9104, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 769104 in words is "seven hundred sixty-nine thousand, one hundred four".