85747680 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 21846528.

The previous prime is 85747679. The next prime is 85747699. The reversal of 85747680 is 8674758.

85747680 is a `hidden beast` number, since 8 + 574 + 76 + 8 + 0 = 666.

It is a super-3 number, since 3×85747680³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98929 + ... + 99791.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^85747680 is an apocalyptic number.

85747680 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 85747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

85747680 is an abundant number, since it is smaller than the sum of its proper divisors (227780640).

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

85747680 is a wasteful number, since it uses less digits than its factorization.

85747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85747680 is about 9260.0043196534. The cubic root of 85747680 is about 440.9683905337.

The spelling of 85747680 in words is "eighty-five million, seven hundred forty-seven thousand, six hundred eighty".