1378548800 has 168 divisors, whose sum is σ = 3607551840. Its totient is φ = 517017600.

The previous prime is 1378548797. The next prime is 1378548823. The reversal of 1378548800 is 88458731.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4164635 + ... + 4164965.

Almost surely, 2^1378548800 is an apocalyptic number.

1378548800 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 1378548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803775920).

1378548800 is an abundant number, since it is smaller than the sum of its proper divisors (2229003040).

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

1378548800 is a wasteful number, since it uses less digits than its factorization.

1378548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 1378548800 is about 37128.8136088402. The cubic root of 1378548800 is about 1112.9458853163.

The spelling of 1378548800 in words is "one billion, three hundred seventy-eight million, five hundred forty-eight thousand, eight hundred".