85777200 has 90 divisors (see below), whose sum is σ = 297683204. Its totient is φ = 22872960.

The previous prime is 85777199. The next prime is 85777231. The reversal of 85777200 is 277758.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 8314 + ... + 15513.

Almost surely, 2^85777200 is an apocalyptic number.

85777200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85777200 is an abundant number, since it is smaller than the sum of its proper divisors (211906004).

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

85777200 is a wasteful number, since it uses less digits than its factorization.

85777200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23851 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 85777200 is about 9261.5981342315. The cubic root of 85777200 is about 441.0189881839.

The spelling of 85777200 in words is "eighty-five million, seven hundred seventy-seven thousand, two hundred".