1720400000 has 384 divisors, whose sum is σ = 5163419520. Its totient is φ = 563200000.

The previous prime is 1720399999. The next prime is 1720400021. The reversal of 1720400000 is 40271.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74799989 + ... + 74800011.

It is an arithmetic number, because the mean of its divisors is an integer number (13446405).

Almost surely, 2^1720400000 is an apocalyptic number.

1720400000 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 1720400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581709760).

1720400000 is an abundant number, since it is smaller than the sum of its proper divisors (3443019520).

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

1720400000 is an equidigital number, since it uses as much as digits as its factorization.

1720400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 1720400000 is about 41477.7048545360. The cubic root of 1720400000 is about 1198.2381552593.

Adding to 1720400000 its reverse (40271), we get a palindrome (1720440271).

The spelling of 1720400000 in words is "one billion, seven hundred twenty million, four hundred thousand".