769120 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 253440.

The previous prime is 769117. The next prime is 769123. The reversal of 769120 is 21967.

769120 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 (769117) and next prime (769123).

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33429 + ... + 33451.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁷⁶⁹¹²⁰ 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 769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

769120 is an abundant number, since it is smaller than the sum of its proper divisors (1408160).

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

769120 is a wasteful number, since it uses less digits than its factorization.

769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 769120 is about 876.9948688561. The cubic root of 769120 is about 91.6216344467.

The spelling of 769120 in words is "seven hundred sixty-nine thousand, one hundred twenty".