85758750 has 300 divisors, whose sum is σ = 301647192. Its totient is φ = 17820000.

The previous prime is 85758737. The next prime is 85758769. The reversal of 85758750 is 5785758.

It is a happy number.

85758750 is a `hidden beast` number, since 8 + 575 + 8 + 75 + 0 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 85758696 and 85758705.

It is a congruent number.

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 149 ways as a sum of consecutive naturals, for example, 7796245 + ... + 7796255.

Almost surely, 2^85758750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85758750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150823596).

85758750 is an abundant number, since it is smaller than the sum of its proper divisors (215888442).

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

85758750 is a wasteful number, since it uses less digits than its factorization.

85758750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 85758750 is about 9260.6020322655. The cubic root of 85758750 is about 440.9873660132.

The spelling of 85758750 in words is "eighty-five million, seven hundred fifty-eight thousand, seven hundred fifty".