1278716400 has 360 divisors, whose sum is σ = 4848283440. Its totient is φ = 310210560.

The previous prime is 1278716377. The next prime is 1278716407. The reversal of 1278716400 is 46178721.

1278716400 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 7 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278716407) 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, 4165047 + ... + 4165353.

It is an arithmetic number, because the mean of its divisors is an integer number (13467454).

Almost surely, 2^1278716400 is an apocalyptic number.

1278716400 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 1278716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424141720).

1278716400 is an abundant number, since it is smaller than the sum of its proper divisors (3569567040).

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

1278716400 is a wasteful number, since it uses less digits than its factorization.

1278716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1278716400 is about 35759.1442850636. The cubic root of 1278716400 is about 1085.4039849945.

The spelling of 1278716400 in words is "one billion, two hundred seventy-eight million, seven hundred sixteen thousand, four hundred".