1278840960 has 224 divisors, whose sum is σ = 4585419180. Its totient is φ = 340899840.

The previous prime is 1278840943. The next prime is 1278841079. The reversal of 1278840960 is 690488721.

It can be written as a sum of positive squares in 2 ways, for example, as 1239603264 + 39237696 = 35208^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 465190 + ... + 467930.

Almost surely, 2^1278840960 is an apocalyptic number.

1278840960 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 1278840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292709590).

1278840960 is an abundant number, since it is smaller than the sum of its proper divisors (3306578220).

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

1278840960 is an frugal number, since it uses more digits than its factorization.

1278840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1278840960 is about 35760.8858950670. The cubic root of 1278840960 is about 1085.4392269842.

The spelling of 1278840960 in words is "one billion, two hundred seventy-eight million, eight hundred forty thousand, nine hundred sixty".