1275840000 has 300 divisors, whose sum is σ = 4611614436. Its totient is φ = 339456000.

The previous prime is 1275839993. The next prime is 1275840001. The reversal of 1275840000 is 485721.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1275840001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879779 + ... + 2880221.

Almost surely, 2^1275840000 is an apocalyptic number.

1275840000 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 1275840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305807218).

1275840000 is an abundant number, since it is smaller than the sum of its proper divisors (3335774436).

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

1275840000 is an frugal number, since it uses more digits than its factorization.

1275840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1275840000 is about 35718.9025587293. The cubic root of 1275840000 is about 1084.5895224301.

The spelling of 1275840000 in words is "one billion, two hundred seventy-five million, eight hundred forty thousand".