1278340800 has 504 divisors, whose sum is σ = 4825691136. Its totient is φ = 295680000.

The previous prime is 1278340727. The next prime is 1278340801. The reversal of 1278340800 is 80438721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1278340801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18004765 + ... + 18004835.

It is an arithmetic number, because the mean of its divisors is an integer number (9574784).

Almost surely, 2^1278340800 is an apocalyptic number.

1278340800 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 1278340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412845568).

1278340800 is an abundant number, since it is smaller than the sum of its proper divisors (3547350336).

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

1278340800 is a wasteful number, since it uses less digits than its factorization.

1278340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1278340800 is about 35753.8920958264. The cubic root of 1278340800 is about 1085.2977019388.

The spelling of 1278340800 in words is "one billion, two hundred seventy-eight million, three hundred forty thousand, eight hundred".