123007680 has 224 divisors, whose sum is σ = 453542400. Its totient is φ = 31325184.

The previous prime is 123007637. The next prime is 123007681. The reversal of 123007680 is 86700321.

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

It is not an unprimeable number, because it can be changed into a prime (123007681) 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 31 ways as a sum of consecutive naturals, for example, 198411 + ... + 199029.

Almost surely, 2^123007680 is an apocalyptic number.

123007680 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 123007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226771200).

123007680 is an abundant number, since it is smaller than the sum of its proper divisors (330534720).

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

123007680 is a wasteful number, since it uses less digits than its factorization.

123007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 123007680 is about 11090.8827421446. The cubic root of 123007680 is about 497.3293338155.

The spelling of 123007680 in words is "one hundred twenty-three million, seven thousand, six hundred eighty".