764248420 has 48 divisors (see below), whose sum is σ = 1738704240. Its totient is φ = 282167808.

The previous prime is 764248403. The next prime is 764248421. The reversal of 764248420 is 24842467.

It can be written as a sum of positive squares in 8 ways, for example, as 663165504 + 101082916 = 25752^2 + 10054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 764248420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764248421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35244 + ... + 52636.

It is an arithmetic number, because the mean of its divisors is an integer number (36223005).

Almost surely, 2^764248420 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 764248420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869352120).

764248420 is an abundant number, since it is smaller than the sum of its proper divisors (974455820).

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

764248420 is a wasteful number, since it uses less digits than its factorization.

764248420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17441 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 764248420 is about 27645.0433170216. The cubic root of 764248420 is about 914.2778180819.

The spelling of 764248420 in words is "seven hundred sixty-four million, two hundred forty-eight thousand, four hundred twenty".