1378056200 has 48 divisors (see below), whose sum is σ = 3225269760. Its totient is φ = 547560000.

The previous prime is 1378056167. The next prime is 1378056209. The reversal of 1378056200 is 26508731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1378056209) by changing a digit.

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, 7385 + ... + 53015.

It is an arithmetic number, because the mean of its divisors is an integer number (67193120).

Almost surely, 2^1378056200 is an apocalyptic number.

1378056200 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 1378056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612634880).

1378056200 is an abundant number, since it is smaller than the sum of its proper divisors (1847213560).

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

1378056200 is a wasteful number, since it uses less digits than its factorization.

1378056200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45798 (or 45789 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1378056200 is about 37122.1793541274. The cubic root of 1378056200 is about 1112.8133056893.

The spelling of 1378056200 in words is "one billion, three hundred seventy-eight million, fifty-six thousand, two hundred".