387768 has 32 divisors (see below), whose sum is σ = 984960. Its totient is φ = 127200.

The previous prime is 387763. The next prime is 387781. The reversal of 387768 is 867783.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387768.

It is not an unprimeable number, because it can be changed into a prime (387763) by changing a digit.

387768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2493 + ... + 2643.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2³⁸⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

387768 is an abundant number, since it is smaller than the sum of its proper divisors (597192).

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

387768 is a wasteful number, since it uses less digits than its factorization.

387768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 387768 is about 622.7102054728. The cubic root of 387768 is about 72.9217902613.

The spelling of 387768 in words is "three hundred eighty-seven thousand, seven hundred sixty-eight".