1720800 has 108 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 456960.

The previous prime is 1720799. The next prime is 1720843. The reversal of 1720800 is 80271.

It is a super-2 number, since 2×1720800² = 5922305280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7081 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2^1720800 is an apocalyptic number.

1720800 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 1720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

1720800 is an abundant number, since it is smaller than the sum of its proper divisors (4372560).

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

1720800 is a wasteful number, since it uses less digits than its factorization.

1720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1720800 is about 1311.7926665445. The cubic root of 1720800 is about 119.8331013145.

It can be divided in two parts, 1 and 720800, that added together give a square (720801 = 849²).

The spelling of 1720800 in words is "one million, seven hundred twenty thousand, eight hundred".