42267780 has 144 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 10036224.

The previous prime is 42267773. The next prime is 42267781. The reversal of 42267780 is 8776224.

It is a super-2 number, since 2×42267780² = 3573130452256800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42267781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57777 + ... + 58503.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 2^42267780 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 42267780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

42267780 is an abundant number, since it is smaller than the sum of its proper divisors (100827900).

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

42267780 is a wasteful number, since it uses less digits than its factorization.

42267780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42267780 is about 6501.3675484470. The cubic root of 42267780 is about 348.3398384557.

The spelling of 42267780 in words is "forty-two million, two hundred sixty-seven thousand, seven hundred eighty".