22780080 has 120 divisors (see below), whose sum is σ = 79213680. Its totient is φ = 5859840.

The previous prime is 22780061. The next prime is 22780081. The reversal of 22780080 is 8008722.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22780081) 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, 20335 + ... + 21425.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 2^22780080 is an apocalyptic number.

22780080 is a gapful number since it is divisible by the number (20) 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 22780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39606840).

22780080 is an abundant number, since it is smaller than the sum of its proper divisors (56433600).

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

22780080 is a wasteful number, since it uses less digits than its factorization.

22780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 22780080 is about 4772.8482062601. The cubic root of 22780080 is about 283.4773831140.

The spelling of 22780080 in words is "twenty-two million, seven hundred eighty thousand, eighty".