1279801600 has 432 divisors, whose sum is σ = 4105987200. Its totient is φ = 391372800.

The previous prime is 1279801597. The next prime is 1279801609. The reversal of 1279801600 is 61089721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1279801609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24147174 + ... + 24147226.

It is an arithmetic number, because the mean of its divisors is an integer number (9504600).

Almost surely, 2^1279801600 is an apocalyptic number.

1279801600 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 1279801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052993600).

1279801600 is an abundant number, since it is smaller than the sum of its proper divisors (2826185600).

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

1279801600 is an equidigital number, since it uses as much as digits as its factorization.

1279801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1279801600 is about 35774.3148082531. The cubic root of 1279801600 is about 1085.7109457752.

The spelling of 1279801600 in words is "one billion, two hundred seventy-nine million, eight hundred one thousand, six hundred".