785484 has 48 divisors (see below), whose sum is σ = 2329600. Its totient is φ = 224208.

The previous prime is 785483. The next prime is 785501. The reversal of 785484 is 484587.

It is a super-2 number, since 2×785484² = 1233970228512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (785483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 1275.

2⁷⁸⁵⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164800).

785484 is an abundant number, since it is smaller than the sum of its proper divisors (1544116).

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

785484 is a wasteful number, since it uses less digits than its factorization.

785484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1051 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 785484 is about 886.2753522467. The cubic root of 785484 is about 92.2668684865.

It can be divided in two parts, 7 and 85484, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 785484 in words is "seven hundred eighty-five thousand, four hundred eighty-four".