769680 has 60 divisors (see below), whose sum is σ = 2587260. Its totient is φ = 205056.

The previous prime is 769673. The next prime is 769687. The reversal of 769680 is 86967.

It is an interprime number because it is at equal distance from previous prime (769673) and next prime (769687).

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 451584 = 564^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (769687) by changing a digit.

769680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (43121).

2⁷⁶⁹⁶⁸⁰ 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 769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293630).

769680 is an abundant number, since it is smaller than the sum of its proper divisors (1817580).

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

769680 is a wasteful number, since it uses less digits than its factorization.

769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 769680 is about 877.3140828688. The cubic root of 769680 is about 91.6438657707.

It can be divided in two parts, 7696 and 80, that added together give a 5-th power (7776 = 6⁵).

The spelling of 769680 in words is "seven hundred sixty-nine thousand, six hundred eighty".