85790320 has 160 divisors (see below), whose sum is σ = 262126080. Its totient is φ = 25297920.

The previous prime is 85790317. The next prime is 85790321. The reversal of 85790320 is 2309758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85790321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116674 + ... + 117406.

It is an arithmetic number, because the mean of its divisors is an integer number (1638288).

Almost surely, 2^85790320 is an apocalyptic number.

85790320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131063040).

85790320 is an abundant number, since it is smaller than the sum of its proper divisors (176335760).

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

85790320 is a wasteful number, since it uses less digits than its factorization.

85790320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 85790320 is about 9262.3064082333. The cubic root of 85790320 is about 441.0414723022.

The spelling of 85790320 in words is "eighty-five million, seven hundred ninety thousand, three hundred twenty".