781560 has 96 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 191232.

The previous prime is 781559. The next prime is 781567. The reversal of 781560 is 65187.

It is a super-2 number, since 2×781560² = 1221672067200, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 781560.

It is not an unprimeable number, because it can be changed into a prime (781567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4597 + ... + 4763.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁷⁸¹⁵⁶⁰ 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 781560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

781560 is an abundant number, since it is smaller than the sum of its proper divisors (1970280).

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

781560 is a wasteful number, since it uses less digits than its factorization.

781560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 781560 is about 884.0588215724. The cubic root of 781560 is about 92.1129677193.

It can be divided in two parts, 7815 and 60, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 781560 in words is "seven hundred eighty-one thousand, five hundred sixty".