785127 has 20 divisors (see below), whose sum is σ = 1232440. Its totient is φ = 444528.

The previous prime is 785123. The next prime is 785129. The reversal of 785127 is 721587.

It is a happy number.

785127 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 785127 - 2² = 785123 is a prime.

It is a super-2 number, since 2×785127² = 1232848812258, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (3920) is a multiple of the sum of its prime factors (140).

785127 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 785094 and 785103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7149 + ... + 7257.

It is an arithmetic number, because the mean of its divisors is an integer number (61622).

2⁷⁸⁵¹²⁷ is an apocalyptic number.

785127 is a deficient number, since it is larger than the sum of its proper divisors (447313).

785127 is an equidigital number, since it uses as much as digits as its factorization.

785127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 785127 is about 886.0739246812. The cubic root of 785127 is about 92.2528880347.

The spelling of 785127 in words is "seven hundred eighty-five thousand, one hundred twenty-seven".