382008807 has 12 divisors (see below), whose sum is σ = 554594040. Its totient is φ = 253378608.

The previous prime is 382008797. The next prime is 382008811. The reversal of 382008807 is 708800283.

It is not a de Polignac number, because 382008807 - 2⁶ = 382008743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382008007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105957 + ... + 109502.

It is an arithmetic number, because the mean of its divisors is an integer number (46216170).

Almost surely, 2^382008807 is an apocalyptic number.

382008807 is a deficient number, since it is larger than the sum of its proper divisors (172585233).

382008807 is a wasteful number, since it uses less digits than its factorization.

382008807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215662 (or 215659 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 382008807 is about 19545.0455870535. The cubic root of 382008807 is about 725.5897267561.

The spelling of 382008807 in words is "three hundred eighty-two million, eight thousand, eight hundred seven".