32780020 has 144 divisors (see below), whose sum is σ = 90091008. Its totient is φ = 9918720.

The previous prime is 32780017. The next prime is 32780021. The reversal of 32780020 is 2008723.

It is a happy number.

It is a super-2 number, since 2×32780020² = 2149059422400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32779973 and 32780000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32780021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394899 + ... + 394981.

It is an arithmetic number, because the mean of its divisors is an integer number (625632).

Almost surely, 2^32780020 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 32780020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504).

32780020 is an abundant number, since it is smaller than the sum of its proper divisors (57310988).

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

32780020 is a wasteful number, since it uses less digits than its factorization.

32780020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 32780020 is about 5725.3838299279. The cubic root of 32780020 is about 320.0391228209.

Adding to 32780020 its reverse (2008723), we get a palindrome (34788743).

The spelling of 32780020 in words is "thirty-two million, seven hundred eighty thousand, twenty".