785408 has 44 divisors (see below), whose sum is σ = 1719480. Its totient is φ = 356352.

The previous prime is 785377. The next prime is 785413. The reversal of 785408 is 804587.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 785408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13283 + ... + 13341.

2⁷⁸⁵⁴⁰⁸ is an apocalyptic number.

785408 is the 512-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859740).

785408 is an abundant number, since it is smaller than the sum of its proper divisors (934072).

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

785408 is a wasteful number, since it uses less digits than its factorization.

785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 785408 is about 886.2324751441. The cubic root of 785408 is about 92.2638926108.

The spelling of 785408 in words is "seven hundred eighty-five thousand, four hundred eight".