769580 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 251328.

The previous prime is 769579. The next prime is 769589. The reversal of 769580 is 85967.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 769580.

It is not an unprimeable number, because it can be changed into a prime (769589) 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, 3101 + ... + 3339.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁷⁶⁹⁵⁸⁰ is an apocalyptic number.

769580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

769580 is an abundant number, since it is smaller than the sum of its proper divisors (1165780).

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

769580 is a wasteful number, since it uses less digits than its factorization.

769580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 769580 is about 877.2570888856. The cubic root of 769580 is about 91.6398966825.

The spelling of 769580 in words is "seven hundred sixty-nine thousand, five hundred eighty".