1318978080 has 720 divisors, whose sum is σ = 5672975616. Its totient is φ = 287400960.

The previous prime is 1318978007. The next prime is 1318978093. The reversal of 1318978080 is 808798131.

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 an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 19686207 + ... + 19686273.

Almost surely, 2^1318978080 is an apocalyptic number.

1318978080 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 1318978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836487808).

1318978080 is an abundant number, since it is smaller than the sum of its proper divisors (4353997536).

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

1318978080 is a wasteful number, since it uses less digits than its factorization.

1318978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1318978080 is about 36317.7378150127. The cubic root of 1318978080 is about 1096.6781549020.

The spelling of 1318978080 in words is "one billion, three hundred eighteen million, nine hundred seventy-eight thousand, eighty".