1378230840 has 576 divisors, whose sum is σ = 5633971200. Its totient is φ = 290594304.

The previous prime is 1378230839. The next prime is 1378230857. The reversal of 1378230840 is 480328731.

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

It is a junction number, because it is equal to n+sod(n) for n = 1378230795 and 1378230804.

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 143 ways as a sum of consecutive naturals, for example, 17445921 + ... + 17445999.

It is an arithmetic number, because the mean of its divisors is an integer number (9781200).

Almost surely, 2^1378230840 is an apocalyptic number.

1378230840 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 1378230840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816985600).

1378230840 is an abundant number, since it is smaller than the sum of its proper divisors (4255740360).

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

1378230840 is a wasteful number, since it uses less digits than its factorization.

1378230840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1378230840 is about 37124.5315121955. The cubic root of 1378230840 is about 1112.8603123612.

The spelling of 1378230840 in words is "one billion, three hundred seventy-eight million, two hundred thirty thousand, eight hundred forty".