1287982080 has 704 divisors, whose sum is σ = 5753871360. Its totient is φ = 267632640.

The previous prime is 1287982061. The next prime is 1287982123. The reversal of 1287982080 is 802897821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×1287982080² = 3317795676802252800, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117089275 + ... + 117089285.

Almost surely, 2^1287982080 is an apocalyptic number.

1287982080 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 1287982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876935680).

1287982080 is an abundant number, since it is smaller than the sum of its proper divisors (4465889280).

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

1287982080 is an equidigital number, since it uses as much as digits as its factorization.

1287982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1287982080 is about 35888.4672283451. The cubic root of 1287982080 is about 1088.0193191495.

The spelling of 1287982080 in words is "one billion, two hundred eighty-seven million, nine hundred eighty-two thousand, eighty".