123456760 has 64 divisors (see below), whose sum is σ = 318827520. Its totient is φ = 42145920.

The previous prime is 123456757. The next prime is 123456761. The reversal of 123456760 is 67654321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123456761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75067 + ... + 76693.

It is an arithmetic number, because the mean of its divisors is an integer number (4981680).

Almost surely, 2^123456760 is an apocalyptic number.

123456760 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 123456760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159413760).

123456760 is an abundant number, since it is smaller than the sum of its proper divisors (195370760).

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

123456760 is a wasteful number, since it uses less digits than its factorization.

123456760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 123456760 is about 11111.1097555555. The cubic root of 123456760 is about 497.9338202299.

The spelling of 123456760 in words is "one hundred twenty-three million, four hundred fifty-six thousand, seven hundred sixty".