1729800000 has 378 divisors, whose sum is σ = 6403664358. Its totient is φ = 446400000.

The previous prime is 1729799999. The next prime is 1729800049. The reversal of 1729800000 is 89271.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 799305984 + 930494016 = 28272^2 + 30504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55799985 + ... + 55800015.

It is an arithmetic number, because the mean of its divisors is an integer number (16940911).

Almost surely, 2^1729800000 is an apocalyptic number.

1729800000 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 1729800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201832179).

1729800000 is an abundant number, since it is smaller than the sum of its proper divisors (4673864358).

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

1729800000 is an frugal number, since it uses more digits than its factorization.

1729800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1729800000 is about 41590.8643814961. The cubic root of 1729800000 is about 1200.4165220744.

Adding to 1729800000 its reverse (89271), we get a palindrome (1729889271).

The spelling of 1729800000 in words is "one billion, seven hundred twenty-nine million, eight hundred thousand".