32789380 has 72 divisors (see below), whose sum is σ = 76091400. Its totient is φ = 11860992.

The previous prime is 32789357. The next prime is 32789389. The reversal of 32789380 is 8398723.

32789380 = 678² + 679² + ... + 742².

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20720704 + 12068676 = 4552^2 + 3474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32789389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300766 + ... + 300874.

It is an arithmetic number, because the mean of its divisors is an integer number (1056825).

Almost surely, 2^32789380 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 32789380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38045700).

32789380 is an abundant number, since it is smaller than the sum of its proper divisors (43302020).

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

32789380 is a wasteful number, since it uses less digits than its factorization.

32789380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 32789380 is about 5726.2011840312. The cubic root of 32789380 is about 320.0695812232.

The spelling of 32789380 in words is "thirty-two million, seven hundred eighty-nine thousand, three hundred eighty".