1797312000 has 640 divisors, whose sum is σ = 6986124288. Its totient is φ = 405504000.

The previous prime is 1797311987. The next prime is 1797312031. The reversal of 1797312000 is 2137971.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 48575982 + ... + 48576018.

Almost surely, 2^1797312000 is an apocalyptic number.

1797312000 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 1797312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493062144).

1797312000 is an abundant number, since it is smaller than the sum of its proper divisors (5188812288).

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

1797312000 is a wasteful number, since it uses less digits than its factorization.

1797312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 1797312000 is about 42394.7166519603. The cubic root of 1797312000 is about 1215.8345804528.

Adding to 1797312000 its reverse (2137971), we get a palindrome (1799449971).

The spelling of 1797312000 in words is "one billion, seven hundred ninety-seven million, three hundred twelve thousand".