42768880 has 160 divisors (see below), whose sum is σ = 127277568. Its totient is φ = 12979200.

The previous prime is 42768857. The next prime is 42768883. The reversal of 42768880 is 8886724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42768883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326415 + ... + 326545.

Almost surely, 2^42768880 is an apocalyptic number.

42768880 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 42768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63638784).

42768880 is an abundant number, since it is smaller than the sum of its proper divisors (84508688).

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

42768880 is a wasteful number, since it uses less digits than its factorization.

42768880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 42768880 is about 6539.7920456235. The cubic root of 42768880 is about 349.7109995287.

The spelling of 42768880 in words is "forty-two million, seven hundred sixty-eight thousand, eight hundred eighty".