785460 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 179712.

The previous prime is 785459. The next prime is 785461. The reversal of 785460 is 64587.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (785459) and next prime (785461).

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 (785461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14794 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁷⁸⁵⁴⁶⁰ 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 785460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

785460 is an abundant number, since it is smaller than the sum of its proper divisors (1754700).

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

785460 is a wasteful number, since it uses less digits than its factorization.

785460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 785460 is about 886.2618123331. The cubic root of 785460 is about 92.2659287570.

The spelling of 785460 in words is "seven hundred eighty-five thousand, four hundred sixty".