123752880 has 320 divisors, whose sum is σ = 462827520. Its totient is φ = 30311424.

The previous prime is 123752879. The next prime is 123752887. The reversal of 123752880 is 88257321.

123752880 is a `hidden beast` number, since 1 + 2 + 375 + 288 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (123752887) 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 63 ways as a sum of consecutive naturals, for example, 2334934 + ... + 2334986.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 2^123752880 is an apocalyptic number.

123752880 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 123752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

123752880 is an abundant number, since it is smaller than the sum of its proper divisors (339074640).

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

123752880 is a wasteful number, since it uses less digits than its factorization.

123752880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 123752880 is about 11124.4271762640. The cubic root of 123752880 is about 498.3316124916.

The spelling of 123752880 in words is "one hundred twenty-three million, seven hundred fifty-two thousand, eight hundred eighty".