785268 has 48 divisors (see below), whose sum is σ = 2224320. Its totient is φ = 237600.

The previous prime is 785249. The next prime is 785269. The reversal of 785268 is 862587.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 785268.

It is not an unprimeable number, because it can be changed into a prime (785269) by changing a digit.

785268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (46340).

2⁷⁸⁵²⁶⁸ 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 785268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112160).

785268 is an abundant number, since it is smaller than the sum of its proper divisors (1439052).

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

785268 is a wasteful number, since it uses less digits than its factorization.

785268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 785268 is about 886.1534855768. The cubic root of 785268 is about 92.2584102320.

The spelling of 785268 in words is "seven hundred eighty-five thousand, two hundred sixty-eight".