1275904000 has 240 divisors, whose sum is σ = 3680389440. Its totient is φ = 432537600.

The previous prime is 1275903997. The next prime is 1275904031. The reversal of 1275904000 is 4095721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1275904000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14335956 + ... + 14336044.

It is an arithmetic number, because the mean of its divisors is an integer number (15334956).

Almost surely, 2^1275904000 is an apocalyptic number.

1275904000 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 1275904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840194720).

1275904000 is an abundant number, since it is smaller than the sum of its proper divisors (2404485440).

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

1275904000 is an frugal number, since it uses more digits than its factorization.

1275904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1275904000 is about 35719.7984316821. The cubic root of 1275904000 is about 1084.6076575590.

Adding to 1275904000 its reverse (4095721), we get a palindrome (1279999721).

The spelling of 1275904000 in words is "one billion, two hundred seventy-five million, nine hundred four thousand".