1378800360 has 512 divisors, whose sum is σ = 5736960000. Its totient is φ = 287400960.

The previous prime is 1378800359. The next prime is 1378800407. The reversal of 1378800360 is 630088731.

It is a super-2 number, since 2×1378800360² = 3802180865472259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4165395 + ... + 4165725.

It is an arithmetic number, because the mean of its divisors is an integer number (11205000).

Almost surely, 2^1378800360 is an apocalyptic number.

1378800360 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 1378800360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868480000).

1378800360 is an abundant number, since it is smaller than the sum of its proper divisors (4358159640).

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

1378800360 is a wasteful number, since it uses less digits than its factorization.

1378800360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1378800360 is about 37132.2011197828. The cubic root of 1378800360 is about 1113.0135786372.

The spelling of 1378800360 in words is "one billion, three hundred seventy-eight million, eight hundred thousand, three hundred sixty".