387654800 has 120 divisors (see below), whose sum is σ = 1012601856. Its totient is φ = 141765120.

The previous prime is 387654793. The next prime is 387654821. The reversal of 387654800 is 8456783.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660107 + ... + 660693.

Almost surely, 2^387654800 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 387654800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506300928).

387654800 is an abundant number, since it is smaller than the sum of its proper divisors (624947056).

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

387654800 is a wasteful number, since it uses less digits than its factorization.

387654800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 387654800 is about 19688.9512163548. The cubic root of 387654800 is about 729.1469362099.

The spelling of 387654800 in words is "three hundred eighty-seven million, six hundred fifty-four thousand, eight hundred".