1278491760 has 720 divisors, whose sum is σ = 5663923200. Its totient is φ = 252315648.

The previous prime is 1278491759. The next prime is 1278491813. The reversal of 1278491760 is 671948721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16183401 + ... + 16183479.

It is an arithmetic number, because the mean of its divisors is an integer number (7866560).

Almost surely, 2^1278491760 is an apocalyptic number.

1278491760 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 1278491760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831961600).

1278491760 is an abundant number, since it is smaller than the sum of its proper divisors (4385431440).

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

1278491760 is a wasteful number, since it uses less digits than its factorization.

1278491760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1278491760 is about 35756.0031323413. The cubic root of 1278491760 is about 1085.3404214004.

The spelling of 1278491760 in words is "one billion, two hundred seventy-eight million, four hundred ninety-one thousand, seven hundred sixty".