22779120 has 240 divisors, whose sum is σ = 89056800. Its totient is φ = 4773888.

The previous prime is 22779109. The next prime is 22779151. The reversal of 22779120 is 2197722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152806 + ... + 152954.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^22779120 is an apocalyptic number.

22779120 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 22779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44528400).

22779120 is an abundant number, since it is smaller than the sum of its proper divisors (66277680).

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

22779120 is a wasteful number, since it uses less digits than its factorization.

22779120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 22779120 is about 4772.7476363202. The cubic root of 22779120 is about 283.4734009491.

The spelling of 22779120 in words is "twenty-two million, seven hundred seventy-nine thousand, one hundred twenty".