42778368 has 90 divisors (see below), whose sum is σ = 127619184. Its totient is φ = 14252544.

The previous prime is 42778349. The next prime is 42778369. The reversal of 42778368 is 86387724.

It is a happy number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42778369) 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 9 ways as a sum of consecutive naturals, for example, 19705 + ... + 21767.

Almost surely, 2^42778368 is an apocalyptic number.

42778368 is a gapful number since it is divisible by the number (48) 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 42778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63809592).

42778368 is an abundant number, since it is smaller than the sum of its proper divisors (84840816).

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

42778368 is an equidigital number, since it uses as much as digits as its factorization.

42778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2068 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 42778368 is about 6540.5174107252. The cubic root of 42778368 is about 349.7368579927.

The spelling of 42778368 in words is "forty-two million, seven hundred seventy-eight thousand, three hundred sixty-eight".