766224 has 60 divisors (see below), whose sum is σ = 2277756. Its totient is φ = 239616.

The previous prime is 766223. The next prime is 766229. The reversal of 766224 is 422667.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 535824 = 480^2 + 732^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (766223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2292 + ... + 2604.

2⁷⁶⁶²²⁴ 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 766224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138878).

766224 is an abundant number, since it is smaller than the sum of its proper divisors (1511532).

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

766224 is a wasteful number, since it uses less digits than its factorization.

766224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 766224 is about 875.3422187922. The cubic root of 766224 is about 91.5064942090.

It can be divided in two parts, 766 and 224, that added together give a triangular number (990 = T₄₄).

The spelling of 766224 in words is "seven hundred sixty-six thousand, two hundred twenty-four".