42007700 has 54 divisors (see below), whose sum is σ = 106051806. Its totient is φ = 14400960.

The previous prime is 42007673. The next prime is 42007723. The reversal of 42007700 is 770024.

It can be written as a sum of positive squares in 3 ways, for example, as 1073296 + 40934404 = 1036^2 + 6398^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

42007700 is a modest number, since divided by 7700 gives 4200 as remainder.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 614 + ... + 9186.

Almost surely, 2^42007700 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 42007700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53025903).

42007700 is an abundant number, since it is smaller than the sum of its proper divisors (64044106).

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

42007700 is a wasteful number, since it uses less digits than its factorization.

42007700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 42007700 is about 6481.3347390796. The cubic root of 42007700 is about 347.6239055757.

Adding to 42007700 its reverse (770024), we get a palindrome (42777724).

The spelling of 42007700 in words is "forty-two million, seven thousand, seven hundred".