764800129 has 2 divisors, whose sum is σ = 764800130. Its totient is φ = 764800128.

The previous prime is 764800111. The next prime is 764800133. The reversal of 764800129 is 921008467.

764800129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 545315904 + 219484225 = 23352^2 + 14815^2 .

It is a cyclic number.

It is not a de Polignac number, because 764800129 - 2²³ = 756411521 is a prime.

It is a super-3 number, since 3×764800129³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (764807129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 382400064 + 382400065.

It is an arithmetic number, because the mean of its divisors is an integer number (382400065).

Almost surely, 2^764800129 is an apocalyptic number.

It is an amenable number.

764800129 is a deficient number, since it is larger than the sum of its proper divisors (1).

764800129 is an equidigital number, since it uses as much as digits as its factorization.

764800129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 764800129 is about 27655.0199602170. The cubic root of 764800129 is about 914.4977701104.

The spelling of 764800129 in words is "seven hundred sixty-four million, eight hundred thousand, one hundred twenty-nine".