42207760 has 160 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 13246464.

The previous prime is 42207757. The next prime is 42207761. The reversal of 42207760 is 6770224.

42207760 = T₇₃ + T₇₄ + ... + T₆₃₂.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42207761) 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, 373464 + ... + 373576.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 2^42207760 is an apocalyptic number.

42207760 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 42207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

42207760 is an abundant number, since it is smaller than the sum of its proper divisors (79927280).

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

42207760 is a wasteful number, since it uses less digits than its factorization.

42207760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 42207760 is about 6496.7499567091. The cubic root of 42207760 is about 348.1748801744.

Adding to 42207760 its reverse (6770224), we get a palindrome (48977984).

The spelling of 42207760 in words is "forty-two million, two hundred seven thousand, seven hundred sixty".