382627800 has 144 divisors (see below), whose sum is σ = 1332753240. Its totient is φ = 102021120.

The previous prime is 382627783. The next prime is 382627801. The reversal of 382627800 is 8726283.

It is a happy number.

382627800 is a `hidden beast` number, since 382 + 6 + 278 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382627801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44664 + ... + 52536.

Almost surely, 2^382627800 is an apocalyptic number.

382627800 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 382627800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666376620).

382627800 is an abundant number, since it is smaller than the sum of its proper divisors (950125440).

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

382627800 is a wasteful number, since it uses less digits than its factorization.

382627800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 382627800 is about 19560.8742135928. The cubic root of 382627800 is about 725.9814215586.

It can be divided in two parts, 3826 and 27800, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 382627800 in words is "three hundred eighty-two million, six hundred twenty-seven thousand, eight hundred".