1275296800 has 144 divisors (see below), whose sum is σ = 3248229600. Its totient is φ = 488499200.

The previous prime is 1275296791. The next prime is 1275296807. The reversal of 1275296800 is 86925721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1275296807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934871 + ... + 1935529.

It is an arithmetic number, because the mean of its divisors is an integer number (22557150).

Almost surely, 2^1275296800 is an apocalyptic number.

1275296800 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 1275296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624114800).

1275296800 is an abundant number, since it is smaller than the sum of its proper divisors (1972932800).

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

1275296800 is a wasteful number, since it uses less digits than its factorization.

1275296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1275296800 is about 35711.2979321671. The cubic root of 1275296800 is about 1084.4355760993.

The spelling of 1275296800 in words is "one billion, two hundred seventy-five million, two hundred ninety-six thousand, eight hundred".