42702080 has 72 divisors (see below), whose sum is σ = 103912872. Its totient is φ = 16809984.

The previous prime is 42702073. The next prime is 42702083. The reversal of 42702080 is 8020724.

It can be written as a sum of positive squares in 4 ways, for example, as 12054784 + 30647296 = 3472^2 + 5536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42702083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93212 + ... + 93668.

Almost surely, 2^42702080 is an apocalyptic number.

42702080 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 42702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51956436).

42702080 is an abundant number, since it is smaller than the sum of its proper divisors (61210792).

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

42702080 is an equidigital number, since it uses as much as digits as its factorization.

42702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 42702080 is about 6534.6828538193. The cubic root of 42702080 is about 349.5288353979.

It can be divided in two parts, 42 and 702080, that multiplied together give a triangular number (29487360 = T₇₆₇₉).

The spelling of 42702080 in words is "forty-two million, seven hundred two thousand, eighty".