769340 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 257280.

The previous prime is 769339. The next prime is 769357. The reversal of 769340 is 43967.

769340 = 121² + 122² + ... + 159².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2726 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁷⁶⁹³⁴⁰ 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 769340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

769340 is an abundant number, since it is smaller than the sum of its proper divisors (1135780).

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

769340 is a wasteful number, since it uses less digits than its factorization.

769340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 769340 is about 877.1202882159. The cubic root of 769340 is about 91.6303694677.

It can be divided in two parts, 7693 and 40, that multiplied together give a triangular number (307720 = T₇₈₄).

The spelling of 769340 in words is "seven hundred sixty-nine thousand, three hundred forty".