1732800960 has 336 divisors, whose sum is σ = 6590263680. Its totient is φ = 414382080.

The previous prime is 1732800943. The next prime is 1732800961. The reversal of 1732800960 is 690082371.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1732800961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2629111 + ... + 2629769.

It is an arithmetic number, because the mean of its divisors is an integer number (19613880).

Almost surely, 2^1732800960 is an apocalyptic number.

1732800960 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 1732800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295131840).

1732800960 is an abundant number, since it is smaller than the sum of its proper divisors (4857462720).

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

1732800960 is a wasteful number, since it uses less digits than its factorization.

1732800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1732800960 is about 41626.9259013922. The cubic root of 1732800960 is about 1201.1103057009.

The spelling of 1732800960 in words is "one billion, seven hundred thirty-two million, eight hundred thousand, nine hundred sixty".