42802880 has 56 divisors (see below), whose sum is σ = 102626160. Its totient is φ = 17003520.

The previous prime is 42802873. The next prime is 42802897. The reversal of 42802880 is 8820824.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 57551 + ... + 58289.

It is an arithmetic number, because the mean of its divisors is an integer number (1832610).

Almost surely, 2^42802880 is an apocalyptic number.

42802880 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 42802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51313080).

42802880 is an abundant number, since it is smaller than the sum of its proper divisors (59823280).

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

42802880 is a wasteful number, since it uses less digits than its factorization.

42802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 42802880 is about 6542.3910002384. The cubic root of 42802880 is about 349.8036449646.

The spelling of 42802880 in words is "forty-two million, eight hundred two thousand, eight hundred eighty".