32880780 has 72 divisors (see below), whose sum is σ = 103194000. Its totient is φ = 8464512.

The previous prime is 32880713. The next prime is 32880781. The reversal of 32880780 is 8708823.

It is a super-2 number, since 2×32880780² = 2162291386816800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32880781) 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, 2071 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 2^32880780 is an apocalyptic number.

32880780 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 32880780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597000).

32880780 is an abundant number, since it is smaller than the sum of its proper divisors (70313220).

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

32880780 is a wasteful number, since it uses less digits than its factorization.

32880780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 32880780 is about 5734.1764883896. The cubic root of 32880780 is about 320.3667020154.

The spelling of 32880780 in words is "thirty-two million, eight hundred eighty thousand, seven hundred eighty".