785540 has 48 divisors (see below), whose sum is σ = 1956864. Its totient is φ = 259200.

The previous prime is 785537. The next prime is 785549. The reversal of 785540 is 45587.

It is not an unprimeable number, because it can be changed into a prime (785549) 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 15 ways as a sum of consecutive naturals, for example, 4250 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (40768).

2⁷⁸⁵⁵⁴⁰ is an apocalyptic number.

785540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978432).

785540 is an abundant number, since it is smaller than the sum of its proper divisors (1171324).

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

785540 is a wasteful number, since it uses less digits than its factorization.

785540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 785540 is about 886.3069445739. The cubic root of 785540 is about 92.2690611141.

The spelling of 785540 in words is "seven hundred eighty-five thousand, five hundred forty".