123775680 has 224 divisors, whose sum is σ = 455883264. Its totient is φ = 27869184.

The previous prime is 123775667. The next prime is 123775681. The reversal of 123775680 is 86577321.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (123775681) 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 31 ways as a sum of consecutive naturals, for example, 759279 + ... + 759441.

Almost surely, 2^123775680 is an apocalyptic number.

123775680 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 123775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227941632).

123775680 is an abundant number, since it is smaller than the sum of its proper divisors (332107584).

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

123775680 is a wasteful number, since it uses less digits than its factorization.

123775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 123775680 is about 11125.4519009342. The cubic root of 123775680 is about 498.3622145082.

The spelling of 123775680 in words is "one hundred twenty-three million, seven hundred seventy-five thousand, six hundred eighty".