387120753 has 12 divisors (see below), whose sum is σ = 592067268. Its totient is φ = 242899200.

The previous prime is 387120703. The next prime is 387120761. The reversal of 387120753 is 357021783.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 277122609 = 10488^2 + 16647^2 .

It is not a de Polignac number, because 387120753 - 2⁶ = 387120689 is a prime.

It is a super-3 number, since 3×387120753³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (387120703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1264948 + ... + 1265253.

It is an arithmetic number, because the mean of its divisors is an integer number (49338939).

Almost surely, 2^387120753 is an apocalyptic number.

It is an amenable number.

387120753 is a deficient number, since it is larger than the sum of its proper divisors (204946515).

387120753 is a wasteful number, since it uses less digits than its factorization.

387120753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530224 (or 2530221 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 387120753 is about 19675.3844435122. The cubic root of 387120753 is about 728.8119494404.

The spelling of 387120753 in words is "three hundred eighty-seven million, one hundred twenty thousand, seven hundred fifty-three".