785628 has 36 divisors (see below), whose sum is σ = 2012920. Its totient is φ = 258336.

The previous prime is 785627. The next prime is 785641. The reversal of 785628 is 826587.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×785628² = 1234422708768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 785592 and 785601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785623) 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, 4926 + ... + 5082.

2⁷⁸⁵⁶²⁸ is an apocalyptic number.

It is an amenable number.

785628 is an abundant number, since it is smaller than the sum of its proper divisors (1227292).

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

785628 is a wasteful number, since it uses less digits than its factorization.

785628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 785628 is about 886.3565873846. The cubic root of 785628 is about 92.2725064614.

The spelling of 785628 in words is "seven hundred eighty-five thousand, six hundred twenty-eight".