123806880 has 240 divisors, whose sum is σ = 449513064. Its totient is φ = 32071680.

The previous prime is 123806873. The next prime is 123806897. The reversal of 123806880 is 88608321.

It can be written as a sum of positive squares in 4 ways, for example, as 47279376 + 76527504 = 6876^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531244 + ... + 531476.

Almost surely, 2^123806880 is an apocalyptic number.

123806880 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 123806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224756532).

123806880 is an abundant number, since it is smaller than the sum of its proper divisors (325706184).

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

123806880 is a wasteful number, since it uses less digits than its factorization.

123806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 123806880 is about 11126.8540028168. The cubic root of 123806880 is about 498.4040848627.

The spelling of 123806880 in words is "one hundred twenty-three million, eight hundred six thousand, eight hundred eighty".