389782800 has 480 divisors, whose sum is σ = 1610789760. Its totient is φ = 88473600.

The previous prime is 389782787. The next prime is 389782807. The reversal of 389782800 is 8287983.

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

It is not an unprimeable number, because it can be changed into a prime (389782807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2019504 + ... + 2019696.

It is an arithmetic number, because the mean of its divisors is an integer number (3355812).

Almost surely, 2^389782800 is an apocalyptic number.

389782800 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 389782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805394880).

389782800 is an abundant number, since it is smaller than the sum of its proper divisors (1221006960).

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

389782800 is a wasteful number, since it uses less digits than its factorization.

389782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 389782800 is about 19742.9177175006. The cubic root of 389782800 is about 730.4787002210.

The spelling of 389782800 in words is "three hundred eighty-nine million, seven hundred eighty-two thousand, eight hundred".