85079100 has 72 divisors (see below), whose sum is σ = 252202608. Its totient is φ = 22131200.

The previous prime is 85079089. The next prime is 85079107. The reversal of 85079100 is 197058.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85079107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8842 + ... + 15758.

It is an arithmetic number, because the mean of its divisors is an integer number (3502814).

Almost surely, 2^85079100 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 85079100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126101304).

85079100 is an abundant number, since it is smaller than the sum of its proper divisors (167123508).

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

85079100 is a wasteful number, since it uses less digits than its factorization.

85079100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 85079100 is about 9223.8332595510. The cubic root of 85079100 is about 439.8193128629.

The spelling of 85079100 in words is "eighty-five million, seventy-nine thousand, one hundred".