42758820 has 96 divisors (see below), whose sum is σ = 143283840. Its totient is φ = 10523520.

The previous prime is 42758819. The next prime is 42758839. The reversal of 42758820 is 2885724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3975 + ... + 10065.

It is an arithmetic number, because the mean of its divisors is an integer number (1492540).

Almost surely, 2^42758820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42758820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71641920).

42758820 is an abundant number, since it is smaller than the sum of its proper divisors (100525020).

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

42758820 is a wasteful number, since it uses less digits than its factorization.

42758820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42758820 is about 6539.0228627831. The cubic root of 42758820 is about 349.6835779663.

The spelling of 42758820 in words is "forty-two million, seven hundred fifty-eight thousand, eight hundred twenty".