128779200 has 336 divisors, whose sum is σ = 514014720. Its totient is φ = 31104000.

The previous prime is 128779193. The next prime is 128779229. The reversal of 128779200 is 2977821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475065 + ... + 475335.

Almost surely, 2^128779200 is an apocalyptic number.

128779200 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 128779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257007360).

128779200 is an abundant number, since it is smaller than the sum of its proper divisors (385235520).

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

128779200 is a wasteful number, since it uses less digits than its factorization.

128779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 128779200 is about 11348.0923506993. The cubic root of 128779200 is about 504.9889877676.

The spelling of 128779200 in words is "one hundred twenty-eight million, seven hundred seventy-nine thousand, two hundred".