123742080 has 640 divisors, whose sum is σ = 568719360. Its totient is φ = 24883200.

The previous prime is 123742063. The next prime is 123742103. The reversal of 123742080 is 80247321.

123742080 is a `hidden beast` number, since 1 + 237 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991665 + ... + 3991695.

It is an arithmetic number, because the mean of its divisors is an integer number (888624).

Almost surely, 2^123742080 is an apocalyptic number.

123742080 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 123742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284359680).

123742080 is an abundant number, since it is smaller than the sum of its proper divisors (444977280).

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

123742080 is a wasteful number, since it uses less digits than its factorization.

123742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 123742080 is about 11123.9417474203. The cubic root of 123742080 is about 498.3171154876.

The spelling of 123742080 in words is "one hundred twenty-three million, seven hundred forty-two thousand, eighty".