85787760 has 80 divisors (see below), whose sum is σ = 267125760. Its totient is φ = 22775040.

The previous prime is 85787753. The next prime is 85787789. The reversal of 85787760 is 6778758.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64381 + ... + 65699.

It is an arithmetic number, because the mean of its divisors is an integer number (3339072).

Almost surely, 2^85787760 is an apocalyptic number.

85787760 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 85787760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880).

85787760 is an abundant number, since it is smaller than the sum of its proper divisors (181338000).

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

85787760 is a wasteful number, since it uses less digits than its factorization.

85787760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The square root of 85787760 is about 9262.1682126811. The cubic root of 85787760 is about 441.0370853372.

The spelling of 85787760 in words is "eighty-five million, seven hundred eighty-seven thousand, seven hundred sixty".