42677880 has 192 divisors, whose sum is σ = 156003840. Its totient is φ = 9132288.

The previous prime is 42677851. The next prime is 42677881. The reversal of 42677880 is 8877624.

42677880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42677881) by changing a digit.

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, 908017 + ... + 908063.

It is an arithmetic number, because the mean of its divisors is an integer number (812520).

Almost surely, 2^42677880 is an apocalyptic number.

42677880 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 42677880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78001920).

42677880 is an abundant number, since it is smaller than the sum of its proper divisors (113325960).

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

42677880 is a wasteful number, since it uses less digits than its factorization.

42677880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 87 counting only the distinct ones).

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

The square root of 42677880 is about 6532.8309330642. The cubic root of 42677880 is about 349.4627949286.

The spelling of 42677880 in words is "forty-two million, six hundred seventy-seven thousand, eight hundred eighty".