129078768 has 160 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 32836608.

The previous prime is 129078767. The next prime is 129078793. The reversal of 129078768 is 867870921.

It is a super-2 number, since 2×129078768² = 33322656696795648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129078767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126163 + ... + 127181.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^129078768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129078768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

129078768 is an abundant number, since it is smaller than the sum of its proper divisors (295894032).

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

129078768 is a wasteful number, since it uses less digits than its factorization.

129078768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 129078768 is about 11361.2837302833. The cubic root of 129078768 is about 505.3802553800.

The spelling of 129078768 in words is "one hundred twenty-nine million, seventy-eight thousand, seven hundred sixty-eight".