387866880 has 432 divisors, whose sum is σ = 1473151680. Its totient is φ = 97542144.

The previous prime is 387866873. The next prime is 387866881. The reversal of 387866880 is 88668783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387866881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9020139 + ... + 9020181.

Almost surely, 2^387866880 is an apocalyptic number.

387866880 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 387866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

387866880 is an abundant number, since it is smaller than the sum of its proper divisors (1085284800).

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

387866880 is an equidigital number, since it uses as much as digits as its factorization.

387866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 387866880 is about 19694.3362416711. The cubic root of 387866880 is about 729.2798803403.

The spelling of 387866880 in words is "three hundred eighty-seven million, eight hundred sixty-six thousand, eight hundred eighty".