766160 has 40 divisors (see below), whose sum is σ = 1822056. Its totient is φ = 299520.

The previous prime is 766127. The next prime is 766163. The reversal of 766160 is 61667.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 760384 = 76^2 + 872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×766160² = 1174002291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766163) by changing a digit.

766160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4802 + ... + 4958.

2⁷⁶⁶¹⁶⁰ 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 766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911028).

766160 is an abundant number, since it is smaller than the sum of its proper divisors (1055896).

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

766160 is a wasteful number, since it uses less digits than its factorization.

766160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 766160 is about 875.3056608980. The cubic root of 766160 is about 91.5039463993.

The spelling of 766160 in words is "seven hundred sixty-six thousand, one hundred sixty".