767961 has 20 divisors (see below), whose sum is σ = 1210000. Its totient is φ = 484056.

The previous prime is 767957. The next prime is 768013. The reversal of 767961 is 169767.

It is not a de Polignac number, because 767961 - 2² = 767957 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 767961.

It is not an unprimeable number, because it can be changed into a prime (767951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1290 + ... + 1788.

It is an arithmetic number, because the mean of its divisors is an integer number (60500).

2⁷⁶⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

767961 is a deficient number, since it is larger than the sum of its proper divisors (442039).

767961 is a wasteful number, since it uses less digits than its factorization.

767961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 767961 is about 876.3338404969. Note that the first 3 decimals coincide. The cubic root of 767961 is about 91.5755892442.

It can be divided in two parts, 767 and 961, that added together give a cube (1728 = 12³).

The spelling of 767961 in words is "seven hundred sixty-seven thousand, nine hundred sixty-one".