85780127200 has 36 divisors (see below), whose sum is σ = 209410737480. Its totient is φ = 34312050560.

The previous prime is 85780127189. The next prime is 85780127201. The reversal of 85780127200 is 272108758.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85780127201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53611780 + ... + 53613379.

It is an arithmetic number, because the mean of its divisors is an integer number (5816964930).

Almost surely, 2^85780127200 is an apocalyptic number.

85780127200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85780127200 is an abundant number, since it is smaller than the sum of its proper divisors (123630610280).

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

85780127200 is a wasteful number, since it uses less digits than its factorization.

85780127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107225179 (or 107225166 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 85780127200 in words is "eighty-five billion, seven hundred eighty million, one hundred twenty-seven thousand, two hundred".