387877360 has 80 divisors (see below), whose sum is σ = 983687040. Its totient is φ = 141373440.

The previous prime is 387877351. The next prime is 387877361. The reversal of 387877360 is 63778783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387877361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79800 + ... + 84520.

It is an arithmetic number, because the mean of its divisors is an integer number (12296088).

Almost surely, 2^387877360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387877360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491843520).

387877360 is an abundant number, since it is smaller than the sum of its proper divisors (595809680).

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

387877360 is a wasteful number, since it uses less digits than its factorization.

387877360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The square root of 387877360 is about 19694.6023062158. The cubic root of 387877360 is about 729.2864485597.

The spelling of 387877360 in words is "three hundred eighty-seven million, eight hundred seventy-seven thousand, three hundred sixty".