762966 has 32 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 249480.

The previous prime is 762959. The next prime is 762967. The reversal of 762966 is 669267.

762966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 762966.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 762966.

It is not an unprimeable number, because it can be changed into a prime (762967) by changing a digit.

762966 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 15 ways as a sum of consecutive naturals, for example, 3735 + ... + 3933.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁷⁶²⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 762966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

762966 is an abundant number, since it is smaller than the sum of its proper divisors (965034).

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

762966 is a wasteful number, since it uses less digits than its factorization.

762966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 762966 is about 873.4792498966. The cubic root of 762966 is about 91.3766141268.

It can be divided in two parts, 762 and 966, that added together give a cube (1728 = 12³).

The spelling of 762966 in words is "seven hundred sixty-two thousand, nine hundred sixty-six".