769280 has 36 divisors (see below), whose sum is σ = 1845732. Its totient is φ = 307200.

The previous prime is 769273. The next prime is 769289. The reversal of 769280 is 82967.

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 295936 = 688^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769289) 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, 980 + ... + 1580.

2⁷⁶⁹²⁸⁰ 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 769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922866).

769280 is an abundant number, since it is smaller than the sum of its proper divisors (1076452).

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

769280 is an equidigital number, since it uses as much as digits as its factorization.

769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 769280 is about 877.0860847146. The cubic root of 769280 is about 91.6279873544.

The spelling of 769280 in words is "seven hundred sixty-nine thousand, two hundred eighty".