1378578240 has 168 divisors, whose sum is σ = 5106622248. Its totient is φ = 339333120.

The previous prime is 1378578181. The next prime is 1378578287. The reversal of 1378578240 is 428758731.

1378578240 is a `hidden beast` number, since 1 + 3 + 78 + 578 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 1376706816 = 1368^2 + 37104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19030 + ... + 55850.

It is an arithmetic number, because the mean of its divisors is an integer number (30396561).

Almost surely, 2^1378578240 is an apocalyptic number.

1378578240 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 1378578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553311124).

1378578240 is an abundant number, since it is smaller than the sum of its proper divisors (3728044008).

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

1378578240 is a wasteful number, since it uses less digits than its factorization.

1378578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36857 (or 36844 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1378578240 is about 37129.2100643146. The cubic root of 1378578240 is about 1112.9538078731.

The spelling of 1378578240 in words is "one billion, three hundred seventy-eight million, five hundred seventy-eight thousand, two hundred forty".