1768900 has 81 divisors (see below), whose sum is σ = 4712589. Its totient is φ = 574560.

The previous prime is 1768873. The next prime is 1768903. The reversal of 1768900 is 98671.

The square root of 1768900 is 1330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 1132096 = 798^2 + 1064^2 .

It is not an unprimeable number, because it can be changed into a prime (1768903) 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 26 ways as a sum of consecutive naturals, for example, 93091 + ... + 93109.

2^1768900 is an apocalyptic number.

1768900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1768900 is the 1330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768900

1768900 is an abundant number, since it is smaller than the sum of its proper divisors (2943689).

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

1768900 is a wasteful number, since it uses less digits than its factorization.

1768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The cubic root of 1768900 is about 120.9393863478.

The spelling of 1768900 in words is "one million, seven hundred sixty-eight thousand, nine hundred".