1379808000 has 288 divisors, whose sum is σ = 5095446720. Its totient is φ = 367718400.

The previous prime is 1379807977. The next prime is 1379808011. The reversal of 1379808000 is 8089731.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 863202 + ... + 864798.

Almost surely, 2^1379808000 is an apocalyptic number.

1379808000 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 1379808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547723360).

1379808000 is an abundant number, since it is smaller than the sum of its proper divisors (3715638720).

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

1379808000 is an equidigital number, since it uses as much as digits as its factorization.

1379808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1379808000 is about 37145.7669189909. The cubic root of 1379808000 is about 1113.2846461392.

The spelling of 1379808000 in words is "one billion, three hundred seventy-nine million, eight hundred eight thousand".