1279817280 has 336 divisors, whose sum is σ = 5253776640. Its totient is φ = 292432896.

The previous prime is 1279817251. The next prime is 1279817291. The reversal of 1279817280 is 827189721.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 421849 + ... + 424871.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 2^1279817280 is an apocalyptic number.

1279817280 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 1279817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

1279817280 is an abundant number, since it is smaller than the sum of its proper divisors (3973959360).

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

1279817280 is a wasteful number, since it uses less digits than its factorization.

1279817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1279817280 is about 35774.5339592286. The cubic root of 1279817280 is about 1085.7153797641.

The spelling of 1279817280 in words is "one billion, two hundred seventy-nine million, eight hundred seventeen thousand, two hundred eighty".