378758160 has 320 divisors, whose sum is σ = 1499904000. Its totient is φ = 86883840.

The previous prime is 378758129. The next prime is 378758161. The reversal of 378758160 is 61857873.

378758160 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 581 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378758161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 451021 + ... + 451859.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^378758160 is an apocalyptic number.

378758160 is a gapful number since it is divisible by the number (30) 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 378758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

378758160 is an abundant number, since it is smaller than the sum of its proper divisors (1121145840).

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

378758160 is a wasteful number, since it uses less digits than its factorization.

378758160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 378758160 is about 19461.7100995776. The cubic root of 378758160 is about 723.5257620980.

The spelling of 378758160 in words is "three hundred seventy-eight million, seven hundred fifty-eight thousand, one hundred sixty".