785420 has 24 divisors (see below), whose sum is σ = 1666224. Its totient is φ = 310976.

The previous prime is 785413. The next prime is 785423. The reversal of 785420 is 24587.

It is a self number, because there is not a number n which added to its sum of digits gives 785420.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 785420.

It is not an unprimeable number, because it can be changed into a prime (785423) by changing a digit.

785420 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 7 ways as a sum of consecutive naturals, for example, 3347 + ... + 3573.

It is an arithmetic number, because the mean of its divisors is an integer number (69426).

2⁷⁸⁵⁴²⁰ is an apocalyptic number.

It is an amenable number.

785420 is an abundant number, since it is smaller than the sum of its proper divisors (880804).

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

785420 is a wasteful number, since it uses less digits than its factorization.

785420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 785420 is about 886.2392453508. The cubic root of 785420 is about 92.2643624987.

It can be divided in two parts, 7854 and 20, that multiplied together give a triangular number (157080 = T₅₆₀).

The spelling of 785420 in words is "seven hundred eighty-five thousand, four hundred twenty".