110080768 has 72 divisors (see below), whose sum is σ = 256660992. Its totient is φ = 46138368.

The previous prime is 110080759. The next prime is 110080769. The reversal of 110080768 is 867080011.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110080769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83571 + ... + 84877.

It is an arithmetic number, because the mean of its divisors is an integer number (3564736).

Almost surely, 2^110080768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128330496).

110080768 is an abundant number, since it is smaller than the sum of its proper divisors (146580224).

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

110080768 is an equidigital number, since it uses as much as digits as its factorization.

110080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 110080768 is about 10491.9382384762. The cubic root of 110080768 is about 479.2592277428.

The spelling of 110080768 in words is "one hundred ten million, eighty thousand, seven hundred sixty-eight".