766344 has 32 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 248256.

The previous prime is 766333. The next prime is 766357. The reversal of 766344 is 443667.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2⁷⁶⁶³⁴⁴ is an apocalyptic number.

766344 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

766344 is an abundant number, since it is smaller than the sum of its proper divisors (1203576).

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

766344 is a wasteful number, since it uses less digits than its factorization.

766344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 905 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 766344 is about 875.4107607289. The cubic root of 766344 is about 91.5112709697.

The spelling of 766344 in words is "seven hundred sixty-six thousand, three hundred forty-four".