22780800 has 288 divisors, whose sum is σ = 93721680. Its totient is φ = 5160960.

The previous prime is 22780783. The next prime is 22780801. The reversal of 22780800 is 808722.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22780801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201544 + ... + 201656.

Almost surely, 2^22780800 is an apocalyptic number.

22780800 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 22780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46860840).

22780800 is an abundant number, since it is smaller than the sum of its proper divisors (70940880).

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

22780800 is a wasteful number, since it uses less digits than its factorization.

22780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

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

The square root of 22780800 is about 4772.9236323243. The cubic root of 22780800 is about 283.4803696644.

The spelling of 22780800 in words is "twenty-two million, seven hundred eighty thousand, eight hundred".