766940 has 24 divisors (see below), whose sum is σ = 1663872. Its totient is φ = 296640.

The previous prime is 766939. The next prime is 766943. The reversal of 766940 is 49667.

It is a super-3 number, since 3×766940³ = 1353335337790152000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766897 and 766906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766943) 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 7 ways as a sum of consecutive naturals, for example, 2 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (69328).

2⁷⁶⁶⁹⁴⁰ 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 766940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831936).

766940 is an abundant number, since it is smaller than the sum of its proper divisors (896932).

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

766940 is a wasteful number, since it uses less digits than its factorization.

766940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 766940 is about 875.7511061940. The cubic root of 766940 is about 91.5349881622.

The spelling of 766940 in words is "seven hundred sixty-six thousand, nine hundred forty".