85777488 has 160 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 26763264.

The previous prime is 85777469. The next prime is 85777501. The reversal of 85777488 is 88477758.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884256 + ... + 884352.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^85777488 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 85777488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

85777488 is an abundant number, since it is smaller than the sum of its proper divisors (176705712).

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

85777488 is a wasteful number, since it uses less digits than its factorization.

85777488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 54.

The square root of 85777488 is about 9261.6136822910. The cubic root of 85777488 is about 441.0194817623.

The spelling of 85777488 in words is "eighty-five million, seven hundred seventy-seven thousand, four hundred eighty-eight".