85180760 has 32 divisors (see below), whose sum is σ = 219036960. Its totient is φ = 29204736.

The previous prime is 85180757. The next prime is 85180783. The reversal of 85180760 is 6708158.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85180760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151829 + ... + 152388.

It is an arithmetic number, because the mean of its divisors is an integer number (6844905).

Almost surely, 2^85180760 is an apocalyptic number.

It is an amenable number.

85180760 is an abundant number, since it is smaller than the sum of its proper divisors (133856200).

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

85180760 is a wasteful number, since it uses less digits than its factorization.

85180760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304235 (or 304231 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 85180760 is about 9229.3423384334. The cubic root of 85180760 is about 439.9944214169.

The spelling of 85180760 in words is "eighty-five million, one hundred eighty thousand, seven hundred sixty".