1797768 has 128 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 483840.

The previous prime is 1797751. The next prime is 1797769. The reversal of 1797768 is 8677971.

1797768 = 67² + 68² + ... + 178².

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1797769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43828 + ... + 43868.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^1797768 is an apocalyptic number.

1797768 is a gapful number since it is divisible by the number (18) 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 1797768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

1797768 is an abundant number, since it is smaller than the sum of its proper divisors (4250232).

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

1797768 is a wasteful number, since it uses less digits than its factorization.

1797768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 1797768 is about 1340.8087111889. The cubic root of 1797768 is about 121.5937395784.

The spelling of 1797768 in words is "one million, seven hundred ninety-seven thousand, seven hundred sixty-eight".