764228000 has 48 divisors (see below), whose sum is σ = 1877718024. Its totient is φ = 305689600.

The previous prime is 764227993. The next prime is 764228009. The reversal of 764228000 is 822467.

It can be written as a sum of positive squares in 4 ways, for example, as 464661136 + 299566864 = 21556^2 + 17308^2 .

It is a super-3 number, since 3×764228000³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (764228009) 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 7 ways as a sum of consecutive naturals, for example, 91529 + ... + 99528.

Almost surely, 2^764228000 is an apocalyptic number.

It is an amenable number.

764228000 is an abundant number, since it is smaller than the sum of its proper divisors (1113490024).

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

764228000 is a wasteful number, since it uses less digits than its factorization.

764228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191082 (or 191064 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 764228000 is about 27644.6739897580. The cubic root of 764228000 is about 914.2696751279.

The spelling of 764228000 in words is "seven hundred sixty-four million, two hundred twenty-eight thousand".