319798900 has 72 divisors (see below), whose sum is σ = 766825920. Its totient is φ = 115146240.

The previous prime is 319798891. The next prime is 319798901. The reversal of 319798900 is 9897913.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319798901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35011 + ... + 43189.

It is an arithmetic number, because the mean of its divisors is an integer number (10650360).

Almost surely, 2^319798900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319798900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383412960).

319798900 is an abundant number, since it is smaller than the sum of its proper divisors (447027020).

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

319798900 is a wasteful number, since it uses less digits than its factorization.

319798900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The square root of 319798900 is about 17882.9220207437. The cubic root of 319798900 is about 683.8470669111.

The spelling of 319798900 in words is "three hundred nineteen million, seven hundred ninety-eight thousand, nine hundred".