378958080 has 288 divisors, whose sum is σ = 1298021760. Its totient is φ = 94044160.

The previous prime is 378958079. The next prime is 378958087. The reversal of 378958080 is 80859873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (378958087) 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 31 ways as a sum of consecutive naturals, for example, 4565719 + ... + 4565801.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2^378958080 is an apocalyptic number.

378958080 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 378958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649010880).

378958080 is an abundant number, since it is smaller than the sum of its proper divisors (919063680).

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

378958080 is a wasteful number, since it uses less digits than its factorization.

378958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 378958080 is about 19466.8456612775. The cubic root of 378958080 is about 723.6530392926.

The spelling of 378958080 in words is "three hundred seventy-eight million, nine hundred fifty-eight thousand, eighty".