1279672320 has 240 divisors, whose sum is σ = 4227729408. Its totient is φ = 330301440.

The previous prime is 1279672291. The next prime is 1279672369. The reversal of 1279672320 is 232769721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1279672320² = 3275122493148364800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10076097 + ... + 10076223.

Almost surely, 2^1279672320 is an apocalyptic number.

1279672320 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 1279672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113864704).

1279672320 is an abundant number, since it is smaller than the sum of its proper divisors (2948057088).

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

1279672320 is an equidigital number, since it uses as much as digits as its factorization.

1279672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 1279672320 is about 35772.5078796553. The cubic root of 1279672320 is about 1085.6743866092.

The spelling of 1279672320 in words is "one billion, two hundred seventy-nine million, six hundred seventy-two thousand, three hundred twenty".