766760 has 32 divisors (see below), whose sum is σ = 1787400. Its totient is φ = 295680.

The previous prime is 766757. The next prime is 766763. The reversal of 766760 is 67667.

766760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (766757) and next prime (766763).

It can be written as a sum of positive squares in 4 ways, for example, as 702244 + 64516 = 838^2 + 254^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766760.

It is not an unprimeable number, because it can be changed into a prime (766763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830 + ... + 1490.

2⁷⁶⁶⁷⁶⁰ 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 766760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893700).

766760 is an abundant number, since it is smaller than the sum of its proper divisors (1020640).

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

766760 is a wasteful number, since it uses less digits than its factorization.

766760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 766760 is about 875.6483312381. The cubic root of 766760 is about 91.5278265472.

The spelling of 766760 in words is "seven hundred sixty-six thousand, seven hundred sixty".