785480 has 32 divisors (see below), whose sum is σ = 1798200. Its totient is φ = 308736.

The previous prime is 785461. The next prime is 785483. The reversal of 785480 is 84587.

It can be written as a sum of positive squares in 4 ways, for example, as 465124 + 320356 = 682^2 + 566^2 .

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

785480 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, 2786 + ... + 3054.

2⁷⁸⁵⁴⁸⁰ 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 785480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899100).

785480 is an abundant number, since it is smaller than the sum of its proper divisors (1012720).

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

785480 is a wasteful number, since it uses less digits than its factorization.

785480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

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

The square root of 785480 is about 886.2730956088. The cubic root of 785480 is about 92.2667118662.

The spelling of 785480 in words is "seven hundred eighty-five thousand, four hundred eighty".