42752880 has 80 divisors (see below), whose sum is σ = 147267360. Its totient is φ = 11400192.

The previous prime is 42752851. The next prime is 42752903. The reversal of 42752880 is 8825724.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7737 + ... + 12056.

It is an arithmetic number, because the mean of its divisors is an integer number (1840842).

Almost surely, 2^42752880 is an apocalyptic number.

42752880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42752880 is an abundant number, since it is smaller than the sum of its proper divisors (104514480).

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

42752880 is a wasteful number, since it uses less digits than its factorization.

42752880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19815 (or 19803 counting only the distinct ones).

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

The square root of 42752880 is about 6538.5686507064. The cubic root of 42752880 is about 349.6673846863.

The spelling of 42752880 in words is "forty-two million, seven hundred fifty-two thousand, eight hundred eighty".