85753080 has 320 divisors, whose sum is σ = 348480000. Its totient is φ = 18475776.

The previous prime is 85753043. The next prime is 85753081. The reversal of 85753080 is 8035758.

It is a happy number.

85753080 is a `hidden beast` number, since 8 + 575 + 3 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85753081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430821 + ... + 431019.

It is an arithmetic number, because the mean of its divisors is an integer number (1089000).

Almost surely, 2^85753080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85753080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240000).

85753080 is an abundant number, since it is smaller than the sum of its proper divisors (262726920).

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

85753080 is a wasteful number, since it uses less digits than its factorization.

85753080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85753080 is about 9260.2958916009. The cubic root of 85753080 is about 440.9776470692.

The spelling of 85753080 in words is "eighty-five million, seven hundred fifty-three thousand, eighty".