766428 has 48 divisors (see below), whose sum is σ = 2046240. Its totient is φ = 221952.

The previous prime is 766421. The next prime is 766439. The reversal of 766428 is 824667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766421) by changing a digit.

766428 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, 45076 + ... + 45092.

It is an arithmetic number, because the mean of its divisors is an integer number (42630).

2⁷⁶⁶⁴²⁸ is an apocalyptic number.

766428 is a gapful number since it is divisible by the number (78) 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 766428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023120).

766428 is an abundant number, since it is smaller than the sum of its proper divisors (1279812).

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

766428 is a wasteful number, since it uses less digits than its factorization.

766428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 766428 is about 875.4587368917. The cubic root of 766428 is about 91.5146144055.

The spelling of 766428 in words is "seven hundred sixty-six thousand, four hundred twenty-eight".