128077820 has 72 divisors (see below), whose sum is σ = 297273984. Its totient is φ = 46076544.

The previous prime is 128077801. The next prime is 128077837. The reversal of 128077820 is 28770821.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 574229 + ... + 574451.

Almost surely, 2^128077820 is an apocalyptic number.

128077820 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 128077820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148636992).

128077820 is an abundant number, since it is smaller than the sum of its proper divisors (169196164).

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

128077820 is a wasteful number, since it uses less digits than its factorization.

128077820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 128077820 is about 11317.1471670205. The cubic root of 128077820 is about 504.0705316173.

The spelling of 128077820 in words is "one hundred twenty-eight million, seventy-seven thousand, eight hundred twenty".