1378080000 has 720 divisors, whose sum is σ = 5746910400. Its totient is φ = 322560000.

The previous prime is 1378079947. The next prime is 1378080031. The reversal of 1378080000 is 808731.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 47519986 + ... + 47520014.

It is an arithmetic number, because the mean of its divisors is an integer number (7981820).

Almost surely, 2^1378080000 is an apocalyptic number.

1378080000 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 1378080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873455200).

1378080000 is an abundant number, since it is smaller than the sum of its proper divisors (4368830400).

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

1378080000 is an equidigital number, since it uses as much as digits as its factorization.

1378080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1378080000 is about 37122.4999158192. The cubic root of 1378080000 is about 1112.8197120087.

Adding to 1378080000 its reverse (808731), we get a palindrome (1378888731).

The spelling of 1378080000 in words is "one billion, three hundred seventy-eight million, eighty thousand".