387877200 has 120 divisors (see below), whose sum is σ = 1271564448. Its totient is φ = 101015040.

The previous prime is 387877187. The next prime is 387877201. The reversal of 387877200 is 2778783.

387877200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387877201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47842 + ... + 55358.

Almost surely, 2^387877200 is an apocalyptic number.

387877200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387877200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635782224).

387877200 is an abundant number, since it is smaller than the sum of its proper divisors (883687248).

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

387877200 is a wasteful number, since it uses less digits than its factorization.

387877200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 387877200 is about 19694.5982441887. The cubic root of 387877200 is about 729.2863482824.

The spelling of 387877200 in words is "three hundred eighty-seven million, eight hundred seventy-seven thousand, two hundred".