85007500 has 60 divisors (see below), whose sum is σ = 191126320. Its totient is φ = 33048000.

The previous prime is 85007491. The next prime is 85007557. The reversal of 85007500 is 570058.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92041 + ... + 92959.

Almost surely, 2^85007500 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 85007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95563160).

85007500 is an abundant number, since it is smaller than the sum of its proper divisors (106118820).

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

85007500 is a wasteful number, since it uses less digits than its factorization.

85007500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 85007500 is about 9219.9511929294. The cubic root of 85007500 is about 439.6958986875.

Adding to 85007500 its reverse (570058), we get a palindrome (85577558).

The spelling of 85007500 in words is "eighty-five million, seven thousand, five hundred".