85730080 has 48 divisors (see below), whose sum is σ = 204180480. Its totient is φ = 34013952.

The previous prime is 85730069. The next prime is 85730087. The reversal of 85730080 is 8003758.

It is not an unprimeable number, because it can be changed into a prime (85730087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18211 + ... + 22429.

It is an arithmetic number, because the mean of its divisors is an integer number (4253760).

Almost surely, 2^85730080 is an apocalyptic number.

85730080 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 85730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102090240).

85730080 is an abundant number, since it is smaller than the sum of its proper divisors (118450400).

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

85730080 is a wasteful number, since it uses less digits than its factorization.

85730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 85730080 is about 9259.0539473534. The cubic root of 85730080 is about 440.9382183870.

The spelling of 85730080 in words is "eighty-five million, seven hundred thirty thousand, eighty".