382676800 has 168 divisors, whose sum is σ = 1088501760. Its totient is φ = 130867200.

The previous prime is 382676747. The next prime is 382676839. The reversal of 382676800 is 8676283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 298561 + ... + 299839.

Almost surely, 2^382676800 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 382676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544250880).

382676800 is an abundant number, since it is smaller than the sum of its proper divisors (705824960).

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

382676800 is a wasteful number, since it uses less digits than its factorization.

382676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 382676800 is about 19562.1266737541. The cubic root of 382676800 is about 726.0124103953.

The spelling of 382676800 in words is "three hundred eighty-two million, six hundred seventy-six thousand, eight hundred".