1760 has 24 divisors (see below), whose sum is σ = 4536. Its totient is φ = 640.

The previous prime is 1759. The next prime is 1777. The reversal of 1760 is 671.

1760 = T₂₄ + T₂₅ + ... + T₂₈.

It is a happy number.

1760 is nontrivially palindromic in base 3.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (189).

2¹⁷⁶⁰ is an apocalyptic number.

1760 is a gapful number since it is divisible by the number (10) 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 1760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268).

1760 is an abundant number, since it is smaller than the sum of its proper divisors (2776).

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

1760 is a wasteful number, since it uses less digits than its factorization.

1760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1760 is about 41.9523539268. The cubic root of 1760 is about 12.0736214736.

Multiplying 1760 by its product of nonzero digits (42), we get a triangular number (73920 = T₃₈₄).

Subtracting from 1760 its reverse (671), we obtain a square (1089 = 33²).

It can be divided in two parts, 17 and 60, that added together give a palindrome (77).

The spelling of 1760 in words is "one thousand, seven hundred sixty".