22776768 has 168 divisors, whose sum is σ = 78181200. Its totient is φ = 6483456.

The previous prime is 22776757. The next prime is 22776781. The reversal of 22776768 is 86767722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84538 + ... + 84806.

Almost surely, 2^22776768 is an apocalyptic number.

22776768 is a gapful number since it is divisible by the number (28) 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 22776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39090600).

22776768 is an abundant number, since it is smaller than the sum of its proper divisors (55404432).

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

22776768 is a wasteful number, since it uses less digits than its factorization.

22776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 22776768 is about 4772.5012310108. The cubic root of 22776768 is about 283.4636441720.

It can be divided in two parts, 2277 and 6768, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 22776768 in words is "twenty-two million, seven hundred seventy-six thousand, seven hundred sixty-eight".