85776660 has 72 divisors (see below), whose sum is σ = 271514880. Its totient is φ = 21878208.

The previous prime is 85776653. The next prime is 85776667. The reversal of 85776660 is 6667758.

It is an interprime number because it is at equal distance from previous prime (85776653) and next prime (85776667).

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 (85776667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6220 + ... + 14499.

It is an arithmetic number, because the mean of its divisors is an integer number (3771040).

Almost surely, 2^85776660 is an apocalyptic number.

It is an amenable number.

85776660 is an abundant number, since it is smaller than the sum of its proper divisors (185738220).

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

85776660 is a wasteful number, since it uses less digits than its factorization.

85776660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20757 (or 20752 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 85776660 is about 9261.5689815495. The cubic root of 85776660 is about 441.0180627214.

It can be divided in two parts, 85776 and 660, that added together give a square (86436 = 294²).

The spelling of 85776660 in words is "eighty-five million, seven hundred seventy-six thousand, six hundred sixty".