378778176 has 168 divisors, whose sum is σ = 1274836160. Its totient is φ = 105255936.

The previous prime is 378778163. The next prime is 378778177. The reversal of 378778176 is 671877873.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×378778176² = 286945813227773952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (378778177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147915 + ... + 150453.

Almost surely, 2^378778176 is an apocalyptic number.

378778176 is a gapful number since it is divisible by the number (36) 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 378778176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637418080).

378778176 is an abundant number, since it is smaller than the sum of its proper divisors (896057984).

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

378778176 is a wasteful number, since it uses less digits than its factorization.

378778176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2588 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 54.

The square root of 378778176 is about 19462.2243333078. The cubic root of 378778176 is about 723.5385071141.

The spelling of 378778176 in words is "three hundred seventy-eight million, seven hundred seventy-eight thousand, one hundred seventy-six".