110780640 has 144 divisors (see below), whose sum is σ = 398034000. Its totient is φ = 27979776.

The previous prime is 110780629. The next prime is 110780641. The reversal of 110780640 is 46087011.

It is a happy number.

110780640 is a `hidden beast` number, since 1 + 10 + 7 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110780641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25336 + ... + 29384.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^110780640 is an apocalyptic number.

110780640 is a gapful number since it is divisible by the number (10) 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 110780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199017000).

110780640 is an abundant number, since it is smaller than the sum of its proper divisors (287253360).

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

110780640 is a wasteful number, since it uses less digits than its factorization.

110780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 110780640 is about 10525.2382395839. The cubic root of 110780640 is about 480.2727616396.

The spelling of 110780640 in words is "one hundred ten million, seven hundred eighty thousand, six hundred forty".