387774 has 32 divisors (see below), whose sum is σ = 887040. Its totient is φ = 125496.

The previous prime is 387763. The next prime is 387781. The reversal of 387774 is 477783.

It is a happy number.

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 387774.

It is an unprimeable number.

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, 2239 + ... + 2405.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2³⁸⁷⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

387774 is an abundant number, since it is smaller than the sum of its proper divisors (499266).

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

387774 is a wasteful number, since it uses less digits than its factorization.

387774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 387774 is about 622.7150231045. The cubic root of 387774 is about 72.9221663698.

Subtracting 387774 from its reverse (477783), we obtain a palindrome (90009).

It can be divided in two parts, 38777 and 4, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 387774 in words is "three hundred eighty-seven thousand, seven hundred seventy-four".