766728 has 48 divisors (see below), whose sum is σ = 2171520. Its totient is φ = 243936.

The previous prime is 766721. The next prime is 766739. The reversal of 766728 is 827667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 766692 and 766701.

It is not an unprimeable number, because it can be changed into a prime (766721) by changing a digit.

766728 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 11 ways as a sum of consecutive naturals, for example, 1425 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (45240).

2⁷⁶⁶⁷²⁸ 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 766728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085760).

766728 is an abundant number, since it is smaller than the sum of its proper divisors (1404792).

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

766728 is a wasteful number, since it uses less digits than its factorization.

766728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 766728 is about 875.6300588719. The cubic root of 766728 is about 91.5265532538.

The spelling of 766728 in words is "seven hundred sixty-six thousand, seven hundred twenty-eight".