123778368 has 196 divisors, whose sum is σ = 421985440. Its totient is φ = 35271936.

The previous prime is 123778367. The next prime is 123778379. The reversal of 123778368 is 863877321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123778367) 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 27 ways as a sum of consecutive naturals, for example, 326403 + ... + 326781.

Almost surely, 2^123778368 is an apocalyptic number.

123778368 is a gapful number since it is divisible by the number (18) 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 123778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210992720).

123778368 is an abundant number, since it is smaller than the sum of its proper divisors (298207072).

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

123778368 is an frugal number, since it uses more digits than its factorization.

123778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 123778368 is about 11125.5727043600. The cubic root of 123778368 is about 498.3658220772.

The spelling of 123778368 in words is "one hundred twenty-three million, seven hundred seventy-eight thousand, three hundred sixty-eight".