785736 has 48 divisors (see below), whose sum is σ = 2433600. Its totient is φ = 224352.

The previous prime is 785731. The next prime is 785737. The reversal of 785736 is 637587.

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

It is a self number, because there is not a number n which added to its sum of digits gives 785736.

It is not an unprimeable number, because it can be changed into a prime (785731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (50700).

2⁷⁸⁵⁷³⁶ 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 785736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216800).

785736 is an abundant number, since it is smaller than the sum of its proper divisors (1647864).

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

785736 is a wasteful number, since it uses less digits than its factorization.

785736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1571 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 785736 is about 886.4175088523. The cubic root of 785736 is about 92.2767344904.

It can be divided in two parts, 785 and 736, that added together give a square (1521 = 39²).

The spelling of 785736 in words is "seven hundred eighty-five thousand, seven hundred thirty-six".