42788760 has 192 divisors, whose sum is σ = 157593600. Its totient is φ = 9241344.

The previous prime is 42788749. The next prime is 42788771. The reversal of 42788760 is 6788724.

42788760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42788749) and next prime (42788771).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 111529 + ... + 111911.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 2^42788760 is an apocalyptic number.

42788760 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 42788760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

42788760 is an abundant number, since it is smaller than the sum of its proper divisors (114804840).

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

42788760 is a wasteful number, since it uses less digits than its factorization.

42788760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 42788760 is about 6541.3117950454. The cubic root of 42788760 is about 349.7651758189.

The spelling of 42788760 in words is "forty-two million, seven hundred eighty-eight thousand, seven hundred sixty".