387792 has 30 divisors (see below), whose sum is σ = 1085682. Its totient is φ = 129216.

The previous prime is 387791. The next prime is 387799. The reversal of 387792 is 297783.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 69696 = 564^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1203 + ... + 1490.

2³⁸⁷⁷⁹² is an apocalyptic number.

It is an amenable number.

387792 is an abundant number, since it is smaller than the sum of its proper divisors (697890).

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

387792 is a wasteful number, since it uses less digits than its factorization.

387792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2698 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 387792 is about 622.7294757758. The cubic root of 387792 is about 72.9232946719.

Subtracting from 387792 its reverse (297783), we obtain a palindrome (90009).

It can be divided in two parts, 38779 and 2, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 387792 in words is "three hundred eighty-seven thousand, seven hundred ninety-two".