42778320 has 80 divisors (see below), whose sum is σ = 142824192. Its totient is φ = 10529280.

The previous prime is 42778303. The next prime is 42778349. The reversal of 42778320 is 2387724.

42778320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3736 + ... + 9975.

Almost surely, 2^42778320 is an apocalyptic number.

42778320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42778320 is an abundant number, since it is smaller than the sum of its proper divisors (100045872).

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

42778320 is a wasteful number, since it uses less digits than its factorization.

42778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13740 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 42778320 is about 6540.5137412897. The cubic root of 42778320 is about 349.7367271838.

The spelling of 42778320 in words is "forty-two million, seven hundred seventy-eight thousand, three hundred twenty".