387676800 has 384 divisors, whose sum is σ = 1624003200. Its totient is φ = 88473600.

The previous prime is 387676769. The next prime is 387676829. The reversal of 387676800 is 8676783.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604480 + ... + 605120.

It is an arithmetic number, because the mean of its divisors is an integer number (4229175).

Almost surely, 2^387676800 is an apocalyptic number.

387676800 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 387676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812001600).

387676800 is an abundant number, since it is smaller than the sum of its proper divisors (1236326400).

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

387676800 is a wasteful number, since it uses less digits than its factorization.

387676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 387676800 is about 19689.5098974048. The cubic root of 387676800 is about 729.1607293485.

The spelling of 387676800 in words is "three hundred eighty-seven million, six hundred seventy-six thousand, eight hundred".