1378979200 has 96 divisors (see below), whose sum is σ = 3516649920. Its totient is φ = 533760000.

The previous prime is 1378979183. The next prime is 1378979227. The reversal of 1378979200 is 29798731.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 92250 + ... + 106150.

It is an arithmetic number, because the mean of its divisors is an integer number (36631770).

Almost surely, 2^1378979200 is an apocalyptic number.

1378979200 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 1378979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758324960).

1378979200 is an abundant number, since it is smaller than the sum of its proper divisors (2137670720).

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

1378979200 is a wasteful number, since it uses less digits than its factorization.

1378979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 1378979200 is about 37134.6091941197. The cubic root of 1378979200 is about 1113.0616984251.

The spelling of 1378979200 in words is "one billion, three hundred seventy-eight million, nine hundred seventy-nine thousand, two hundred".