85765680 has 720 divisors, whose sum is σ = 416785824. Its totient is φ = 15482880.

The previous prime is 85765679. The next prime is 85765681. The reversal of 85765680 is 8656758.

85765680 is a `hidden beast` number, since 85 + 7 + 6 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85765679) and next prime (85765681).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85765681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5045032 + ... + 5045048.

Almost surely, 2^85765680 is an apocalyptic number.

85765680 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 85765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

85765680 is an abundant number, since it is smaller than the sum of its proper divisors (331020144).

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

85765680 is a wasteful number, since it uses less digits than its factorization.

85765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 85765680 is about 9260.9761904456. The cubic root of 85765680 is about 440.9992441408. Note that the first 3 decimals are identical.

The spelling of 85765680 in words is "eighty-five million, seven hundred sixty-five thousand, six hundred eighty".