785536 has 48 divisors (see below), whose sum is σ = 1748790. Its totient is φ = 350208.

The previous prime is 785527. The next prime is 785537. The reversal of 785536 is 635587.

It is a happy number.

785536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 207936 = 760^2 + 456^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785537) by changing a digit.

785536 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 5 ways as a sum of consecutive naturals, for example, 41335 + ... + 41353.

2⁷⁸⁵⁵³⁶ is an apocalyptic number.

785536 is a gapful number since it is divisible by the number (76) 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 785536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874395).

785536 is an abundant number, since it is smaller than the sum of its proper divisors (963254).

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

785536 is a wasteful number, since it uses less digits than its factorization.

785536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 785536 is about 886.3046880165. The cubic root of 785536 is about 92.2689045013.

Multiplying 785536 by its sum of digits (34), we get a square (26708224 = 5168²).

785536 divided by its sum of digits (34) gives a square (23104 = 152²).

The spelling of 785536 in words is "seven hundred eighty-five thousand, five hundred thirty-six".