1789198320 has 640 divisors, whose sum is σ = 7439523840. Its totient is φ = 345047040.

The previous prime is 1789198291. The next prime is 1789198339. The reversal of 1789198320 is 238919871.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1789198320.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 22648041 + ... + 22648119.

It is an arithmetic number, because the mean of its divisors is an integer number (11624256).

Almost surely, 2^1789198320 is an apocalyptic number.

1789198320 is a gapful number since it is divisible by the number (10) 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 1789198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719761920).

1789198320 is an abundant number, since it is smaller than the sum of its proper divisors (5650325520).

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

1789198320 is a wasteful number, since it uses less digits than its factorization.

1789198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 1789198320 is about 42298.9162981748. The cubic root of 1789198320 is about 1214.0022563008.

The spelling of 1789198320 in words is "one billion, seven hundred eighty-nine million, one hundred ninety-eight thousand, three hundred twenty".