766420 has 12 divisors (see below), whose sum is σ = 1609524. Its totient is φ = 306560.

The previous prime is 766399. The next prime is 766421. The reversal of 766420 is 24667.

766420 = 219² + 220² + ... + 233².

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 391876 = 612^2 + 626^2 .

It is a nialpdrome in base 10.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19141 + ... + 19180.

It is an arithmetic number, because the mean of its divisors is an integer number (134127).

2⁷⁶⁶⁴²⁰ is an apocalyptic number.

It is an amenable number.

766420 is an abundant number, since it is smaller than the sum of its proper divisors (843104).

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

766420 is a wasteful number, since it uses less digits than its factorization.

766420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38330 (or 38328 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 766420 is about 875.4541678466. The cubic root of 766420 is about 91.5142959936.

The spelling of 766420 in words is "seven hundred sixty-six thousand, four hundred twenty".