785406 has 16 divisors (see below), whose sum is σ = 1580544. Its totient is φ = 260184.

The previous prime is 785377. The next prime is 785413. The reversal of 785406 is 604587.

It is a happy number.

785406 is nontrivially palindromic in base 7.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 78 and 5406 contains 785406 itself.

It is a congruent number.

It is an unprimeable number.

785406 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

2⁷⁸⁵⁴⁰⁶ is an apocalyptic number.

785406 is an abundant number, since it is smaller than the sum of its proper divisors (795138).

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

785406 is a wasteful number, since it uses less digits than its factorization.

785406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 785406 is about 886.2313467713. The cubic root of 785406 is about 92.2638142957.

The spelling of 785406 in words is "seven hundred eighty-five thousand, four hundred six".