1720252800 has 864 divisors, whose sum is σ = 7591456080. Its totient is φ = 369008640.

The previous prime is 1720252789. The next prime is 1720252801. The reversal of 1720252800 is 82520271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720252801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32457574 + ... + 32457626.

Almost surely, 2^1720252800 is an apocalyptic number.

1720252800 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 1720252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795728040).

1720252800 is an abundant number, since it is smaller than the sum of its proper divisors (5871203280).

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

1720252800 is a wasteful number, since it uses less digits than its factorization.

1720252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1720252800 is about 41475.9303693118. The cubic root of 1720252800 is about 1198.2039799343.

The spelling of 1720252800 in words is "one billion, seven hundred twenty million, two hundred fifty-two thousand, eight hundred".