42702880 has 96 divisors (see below), whose sum is σ = 115940160. Its totient is φ = 14699520.

The previous prime is 42702871. The next prime is 42702887. The reversal of 42702880 is 8820724.

It is not an unprimeable number, because it can be changed into a prime (42702887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32802 + ... + 34078.

It is an arithmetic number, because the mean of its divisors is an integer number (1207710).

Almost surely, 2^42702880 is an apocalyptic number.

42702880 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 42702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57970080).

42702880 is an abundant number, since it is smaller than the sum of its proper divisors (73237280).

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

42702880 is a wasteful number, since it uses less digits than its factorization.

42702880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 42702880 is about 6534.7440653785. The cubic root of 42702880 is about 349.5310181278.

The spelling of 42702880 in words is "forty-two million, seven hundred two thousand, eight hundred eighty".