22775760 has 120 divisors (see below), whose sum is σ = 87434880. Its totient is φ = 5204736.

The previous prime is 22775741. The next prime is 22775789. The reversal of 22775760 is 6757722.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 2781 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (728624).

Almost surely, 2^22775760 is an apocalyptic number.

22775760 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 22775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43717440).

22775760 is an abundant number, since it is smaller than the sum of its proper divisors (64659120).

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

22775760 is a wasteful number, since it uses less digits than its factorization.

22775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 22775760 is about 4772.3956248408. The cubic root of 22775760 is about 283.4594624905.

The spelling of 22775760 in words is "twenty-two million, seven hundred seventy-five thousand, seven hundred sixty".