85757760 has 168 divisors, whose sum is σ = 321905376. Its totient is φ = 20782080.

The previous prime is 85757759. The next prime is 85757761. The reversal of 85757760 is 6775758.

85757760 is a `hidden beast` number, since 8 + 575 + 7 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85757759) and next prime (85757761).

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 (85757761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30327 + ... + 33033.

Almost surely, 2^85757760 is an apocalyptic number.

85757760 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 85757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160952688).

85757760 is an abundant number, since it is smaller than the sum of its proper divisors (236147616).

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

85757760 is a wasteful number, since it uses less digits than its factorization.

85757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 85757760 is about 9260.5485798629. The cubic root of 85757760 is about 440.9856690856.

The spelling of 85757760 in words is "eighty-five million, seven hundred fifty-seven thousand, seven hundred sixty".