1797982560 has 432 divisors, whose sum is σ = 7152582528. Its totient is φ = 409559040.

The previous prime is 1797982541. The next prime is 1797982573. The reversal of 1797982560 is 652897971.

1797982560 is a `hidden beast` number, since 1 + 7 + 9 + 79 + 8 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1797982497 and 1797982506.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2961777 + ... + 2962383.

It is an arithmetic number, because the mean of its divisors is an integer number (16556904).

Almost surely, 2^1797982560 is an apocalyptic number.

1797982560 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 1797982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576291264).

1797982560 is an abundant number, since it is smaller than the sum of its proper divisors (5354599968).

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

1797982560 is a wasteful number, since it uses less digits than its factorization.

1797982560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1797982560 is about 42402.6244470787. The cubic root of 1797982560 is about 1215.9857670887.

The spelling of 1797982560 in words is "one billion, seven hundred ninety-seven million, nine hundred eighty-two thousand, five hundred sixty".