785280 has 64 divisors (see below), whose sum is σ = 2509200. Its totient is φ = 208896.

The previous prime is 785269. The next prime is 785287. The reversal of 785280 is 82587.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785287) by changing a digit.

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, 1716 + ... + 2124.

2⁷⁸⁵²⁸⁰ 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 785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254600).

785280 is an abundant number, since it is smaller than the sum of its proper divisors (1723920).

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

785280 is a wasteful number, since it uses less digits than its factorization.

785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 785280 is about 886.1602563871. The cubic root of 785280 is about 92.2588801757.

The spelling of 785280 in words is "seven hundred eighty-five thousand, two hundred eighty".