387568800 has 180 divisors, whose sum is σ = 1413624366. Its totient is φ = 103334400.

The previous prime is 387568781. The next prime is 387568801. The reversal of 387568800 is 8865783.

387568800 is a `hidden beast` number, since 3 + 8 + 7 + 568 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 170772624 + 216796176 = 13068^2 + 14724^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (387568801) 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 29 ways as a sum of consecutive naturals, for example, 61810 + ... + 67790.

Almost surely, 2^387568800 is an apocalyptic number.

387568800 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 387568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706812183).

387568800 is an abundant number, since it is smaller than the sum of its proper divisors (1026055566).

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

387568800 is a wasteful number, since it uses less digits than its factorization.

387568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 387568800 is about 19686.7671292165. The cubic root of 387568800 is about 729.0930125694.

The spelling of 387568800 in words is "three hundred eighty-seven million, five hundred sixty-eight thousand, eight hundred".