1797120000 has 560 divisors, whose sum is σ = 7165268880. Its totient is φ = 442368000.

The previous prime is 1797119993. The next prime is 1797120011. The reversal of 1797120000 is 217971.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138239994 + ... + 138240006.

It is an arithmetic number, because the mean of its divisors is an integer number (12795123).

Almost surely, 2^1797120000 is an apocalyptic number.

1797120000 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 1797120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582634440).

1797120000 is an abundant number, since it is smaller than the sum of its proper divisors (5368148880).

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

1797120000 is an frugal number, since it uses more digits than its factorization.

1797120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1797120000 is about 42392.4521583737. The cubic root of 1797120000 is about 1215.7912845842.

Adding to 1797120000 its reverse (217971), we get a palindrome (1797337971).

The spelling of 1797120000 in words is "one billion, seven hundred ninety-seven million, one hundred twenty thousand".