1382380800 has 108 divisors (see below), whose sum is σ = 4562208000. Its totient is φ = 368629760.

The previous prime is 1382380793. The next prime is 1382380801. The reversal of 1382380800 is 80832831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382380801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16800 + ... + 55199.

Almost surely, 2^1382380800 is an apocalyptic number.

1382380800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382380800 is an abundant number, since it is smaller than the sum of its proper divisors (3179827200).

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

1382380800 is an equidigital number, since it uses as much as digits as its factorization.

1382380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72028 (or 72009 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1382380800 is about 37180.3819238049. The cubic root of 1382380800 is about 1113.9761627223.

The spelling of 1382380800 in words is "one billion, three hundred eighty-two million, three hundred eighty thousand, eight hundred".