675840000 has 320 divisors, whose sum is σ = 2456776080. Its totient is φ = 163840000.

The previous prime is 675839999. The next prime is 675840017. The reversal of 675840000 is 48576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 675840000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61439995 + ... + 61440005.

Almost surely, 2^675840000 is an apocalyptic number.

675840000 is a gapful number since it is divisible by the number (60) 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 675840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228388040).

675840000 is an abundant number, since it is smaller than the sum of its proper divisors (1780936080).

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

675840000 is an frugal number, since it uses more digits than its factorization.

675840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 675840000 is about 25996.9228948351. The cubic root of 675840000 is about 877.5690483892.

Adding to 675840000 its reverse (48576), we get a palindrome (675888576).

The spelling of 675840000 in words is "six hundred seventy-five million, eight hundred forty thousand".