382767840 has 576 divisors, whose sum is σ = 1690730496. Its totient is φ = 76640256.

The previous prime is 382767809. The next prime is 382767857. The reversal of 382767840 is 48767283.

It is a happy number.

It is a super-2 number, since 2×382767840² = 293022438676531200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013857 + ... + 3013983.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2^382767840 is an apocalyptic number.

382767840 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 382767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845365248).

382767840 is an abundant number, since it is smaller than the sum of its proper divisors (1307962656).

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

382767840 is a wasteful number, since it uses less digits than its factorization.

382767840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 382767840 is about 19564.4534807390. The cubic root of 382767840 is about 726.0699793665.

The spelling of 382767840 in words is "three hundred eighty-two million, seven hundred sixty-seven thousand, eight hundred forty".