1378518800 has 60 divisors (see below), whose sum is σ = 3455909760. Its totient is φ = 527429760.

The previous prime is 1378518781. The next prime is 1378518803. The reversal of 1378518800 is 88158731.

It is a super-4 number, since 4×1378518800⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1378518803) 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, 65720 + ... + 84119.

It is an arithmetic number, because the mean of its divisors is an integer number (57598496).

Almost surely, 2^1378518800 is an apocalyptic number.

1378518800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378518800 is an abundant number, since it is smaller than the sum of its proper divisors (2077390960).

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

1378518800 is a wasteful number, since it uses less digits than its factorization.

1378518800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149880 (or 149869 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 41.

The square root of 1378518800 is about 37128.4096077384. The cubic root of 1378518800 is about 1112.9378119426.

The spelling of 1378518800 in words is "one billion, three hundred seventy-eight million, five hundred eighteen thousand, eight hundred".