785232 has 120 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 207360.

The previous prime is 785227. The next prime is 785249. The reversal of 785232 is 232587.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 785196 and 785205.

It is a congruent number.

It is an unprimeable number.

785232 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 23 ways as a sum of consecutive naturals, for example, 19132 + ... + 19172.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2⁷⁸⁵²³² is an apocalyptic number.

785232 is a gapful number since it is divisible by the number (72) 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 785232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

785232 is an abundant number, since it is smaller than the sum of its proper divisors (1922928).

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

785232 is a wasteful number, since it uses less digits than its factorization.

785232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 72 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 785232 is about 886.1331728358. The cubic root of 785232 is about 92.2570003721.

The spelling of 785232 in words is "seven hundred eighty-five thousand, two hundred thirty-two".