785928 has 64 divisors (see below), whose sum is σ = 2318400. Its totient is φ = 218880.

The previous prime is 785923. The next prime is 785947. The reversal of 785928 is 829587.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (785921) by changing a digit.

785928 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 15 ways as a sum of consecutive naturals, for example, 3318 + ... + 3546.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁷⁸⁵⁹²⁸ is an apocalyptic number.

785928 is a gapful number since it is divisible by the number (78) 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 785928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159200).

785928 is an abundant number, since it is smaller than the sum of its proper divisors (1532472).

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

785928 is a wasteful number, since it uses less digits than its factorization.

785928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 785928 is about 886.5258033470. The cubic root of 785928 is about 92.2842500301.

It can be divided in two parts, 7859 and 28, that added together give a palindrome (7887).

The spelling of 785928 in words is "seven hundred eighty-five thousand, nine hundred twenty-eight".