85777740 has 144 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 21826560.

The previous prime is 85777709. The next prime is 85777751. The reversal of 85777740 is 4777758.

It is a happy number.

85777740 is a `hidden beast` number, since 8 + 577 + 7 + 74 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435322 + ... + 435518.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^85777740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85777740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

85777740 is an abundant number, since it is smaller than the sum of its proper divisors (186654420).

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

85777740 is a wasteful number, since it uses less digits than its factorization.

85777740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The square root of 85777740 is about 9261.6272868217. The cubic root of 85777740 is about 441.0199136426.

The spelling of 85777740 in words is "eighty-five million, seven hundred seventy-seven thousand, seven hundred forty".