32742780 has 192 divisors, whose sum is σ = 112358400. Its totient is φ = 7112448.

The previous prime is 32742751. The next prime is 32742781. The reversal of 32742780 is 8724723.

32742780 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32742781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761439 + ... + 761481.

It is an arithmetic number, because the mean of its divisors is an integer number (585200).

Almost surely, 2^32742780 is an apocalyptic number.

32742780 is a gapful number since it is divisible by the number (30) 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 32742780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56179200).

32742780 is an abundant number, since it is smaller than the sum of its proper divisors (79615620).

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

32742780 is a wasteful number, since it uses less digits than its factorization.

32742780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 32742780 is about 5722.1307220300. The cubic root of 32742780 is about 319.9178825749.

The spelling of 32742780 in words is "thirty-two million, seven hundred forty-two thousand, seven hundred eighty".