42789120 has 144 divisors (see below), whose sum is σ = 149228352. Its totient is φ = 10362880.

The previous prime is 42789113. The next prime is 42789127. The reversal of 42789120 is 2198724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42789113) and next prime (42789127).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42789127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41734 + ... + 42746.

It is an arithmetic number, because the mean of its divisors is an integer number (1036308).

Almost surely, 2^42789120 is an apocalyptic number.

42789120 is a gapful number since it is divisible by the number (40) 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 42789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74614176).

42789120 is an abundant number, since it is smaller than the sum of its proper divisors (106439232).

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

42789120 is a wasteful number, since it uses less digits than its factorization.

42789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 42789120 is about 6541.3393124038. The cubic root of 42789120 is about 349.7661567237.

The spelling of 42789120 in words is "forty-two million, seven hundred eighty-nine thousand, one hundred twenty".