1279878000 has 320 divisors, whose sum is σ = 4425907200. Its totient is φ = 317260800.

The previous prime is 1279877999. The next prime is 1279878001. The reversal of 1279878000 is 8789721.

It is an interprime number because it is at equal distance from previous prime (1279877999) and next prime (1279878001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1279878001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11741946 + ... + 11742054.

It is an arithmetic number, because the mean of its divisors is an integer number (13830960).

Almost surely, 2^1279878000 is an apocalyptic number.

1279878000 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 1279878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212953600).

1279878000 is an abundant number, since it is smaller than the sum of its proper divisors (3146029200).

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

1279878000 is a wasteful number, since it uses less digits than its factorization.

1279878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 1279878000 is about 35775.3825975349. The cubic root of 1279878000 is about 1085.7325498181.

The spelling of 1279878000 in words is "one billion, two hundred seventy-nine million, eight hundred seventy-eight thousand".