1378586880 has 648 divisors, whose sum is σ = 5597976384. Its totient is φ = 312238080.

The previous prime is 1378586791. The next prime is 1378586887. The reversal of 1378586880 is 886858731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1378586887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32060139 + ... + 32060181.

Almost surely, 2^1378586880 is an apocalyptic number.

1378586880 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 1378586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798988192).

1378586880 is an abundant number, since it is smaller than the sum of its proper divisors (4219389504).

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

1378586880 is a wasteful number, since it uses less digits than its factorization.

1378586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 1378586880 is about 37129.3264145742. The cubic root of 1378586880 is about 1112.9561329499.

The spelling of 1378586880 in words is "one billion, three hundred seventy-eight million, five hundred eighty-six thousand, eight hundred eighty".