123329680 has 80 divisors (see below), whose sum is σ = 302730624. Its totient is φ = 46632960.

The previous prime is 123329677. The next prime is 123329693. The reversal of 123329680 is 86923321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178135 + ... + 178825.

Almost surely, 2^123329680 is an apocalyptic number.

123329680 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 123329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151365312).

123329680 is an abundant number, since it is smaller than the sum of its proper divisors (179400944).

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

123329680 is a wasteful number, since it uses less digits than its factorization.

123329680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 123329680 is about 11105.3896824920. The cubic root of 123329680 is about 497.7629124730.

The spelling of 123329680 in words is "one hundred twenty-three million, three hundred twenty-nine thousand, six hundred eighty".