85207680 has 128 divisors (see below), whose sum is σ = 301838400. Its totient is φ = 22717440.

The previous prime is 85207679. The next prime is 85207687. The reversal of 85207680 is 8670258.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85207687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14815 + ... + 19745.

Almost surely, 2^85207680 is an apocalyptic number.

85207680 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 85207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150919200).

85207680 is an abundant number, since it is smaller than the sum of its proper divisors (216630720).

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

85207680 is a wasteful number, since it uses less digits than its factorization.

85207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85207680 is about 9230.8006153313. The cubic root of 85207680 is about 440.0407675725.

The spelling of 85207680 in words is "eighty-five million, two hundred seven thousand, six hundred eighty".