1797788805120 has 1728 divisors, whose sum is σ = 8126546762880. Its totient is φ = 373128560640.

The previous prime is 1797788805119. The next prime is 1797788805121. The reversal of 1797788805120 is 215088877971.

It is an interprime number because it is at equal distance from previous prime (1797788805119) and next prime (1797788805121).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1797788805121) 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 143 ways as a sum of consecutive naturals, for example, 2107606614 + ... + 2107607466.

It is an arithmetic number, because the mean of its divisors is an integer number (4702862710).

Almost surely, 2^{1797788805120} is an apocalyptic number.

1797788805120 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 1797788805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063273381440).

1797788805120 is an abundant number, since it is smaller than the sum of its proper divisors (6328757957760).

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

1797788805120 is an equidigital number, since it uses as much as digits as its factorization.

1797788805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 63.

It can be divided in two parts, 179778 and 8805120, that added together give a palindrome (8984898).

The spelling of 1797788805120 in words is "one trillion, seven hundred ninety-seven billion, seven hundred eighty-eight million, eight hundred five thousand, one hundred twenty".