382060800 has 540 divisors, whose sum is σ = 1564076976. Its totient is φ = 91238400.

The previous prime is 382060799. The next prime is 382060817. The reversal of 382060800 is 8060283.

382060800 is a `hidden beast` number, since 38 + 20 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702367 + ... + 5702433.

Almost surely, 2^382060800 is an apocalyptic number.

382060800 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 382060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782038488).

382060800 is an abundant number, since it is smaller than the sum of its proper divisors (1182016176).

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

382060800 is a wasteful number, since it uses less digits than its factorization.

382060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 382060800 is about 19546.3756231174. The cubic root of 382060800 is about 725.6226438639.

It can be divided in two parts, 3820 and 60800, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 382060800 in words is "three hundred eighty-two million, sixty thousand, eight hundred".