123880768 has 84 divisors (see below), whose sum is σ = 286403796. Its totient is φ = 52940800.

The previous prime is 123880759. The next prime is 123880777. The reversal of 123880768 is 867088321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123880759) and next prime (123880777).

It can be written as a sum of positive squares in 2 ways, for example, as 87011584 + 36869184 = 9328^2 + 6072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131178 + ... + 132118.

It is an arithmetic number, because the mean of its divisors is an integer number (3409569).

Almost surely, 2^123880768 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 123880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143201898).

123880768 is an abundant number, since it is smaller than the sum of its proper divisors (162523028).

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

123880768 is a wasteful number, since it uses less digits than its factorization.

123880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 123880768 is about 11130.1737632438. The cubic root of 123880768 is about 498.5032144036.

The spelling of 123880768 in words is "one hundred twenty-three million, eight hundred eighty thousand, seven hundred sixty-eight".