123278760 has 192 divisors, whose sum is σ = 453660480. Its totient is φ = 29859840.

The previous prime is 123278741. The next prime is 123278767. The reversal of 123278760 is 67872321.

It is a super-5 number, since 5×123278760⁵ (a number of 42 digits) contains 55555 as substring.

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 (123278767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106344 + ... + 107496.

It is an arithmetic number, because the mean of its divisors is an integer number (2362815).

Almost surely, 2^123278760 is an apocalyptic number.

123278760 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 123278760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226830240).

123278760 is an abundant number, since it is smaller than the sum of its proper divisors (330381720).

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

123278760 is a wasteful number, since it uses less digits than its factorization.

123278760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 123278760 is about 11103.0968652894. The cubic root of 123278760 is about 497.6943980743.

The spelling of 123278760 in words is "one hundred twenty-three million, two hundred seventy-eight thousand, seven hundred sixty".