761760 has 108 divisors (see below), whose sum is σ = 2717442. Its totient is φ = 194304.

The previous prime is 761731. The next prime is 761773. The reversal of 761760 is 67167.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 76176 = 828^2 + 276^2 .

It is an unprimeable number.

761760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 33109 + ... + 33131.

2⁷⁶¹⁷⁶⁰ 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 761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358721).

761760 is an abundant number, since it is smaller than the sum of its proper divisors (1955682).

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

761760 is a wasteful number, since it uses less digits than its factorization.

761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 761760 is about 872.7886342065. The cubic root of 761760 is about 91.3284432118.

It can be divided in two parts, 761 and 760, that added together give a square (1521 = 39²).

The spelling of 761760 in words is "seven hundred sixty-one thousand, seven hundred sixty".