85775760 has 400 divisors, whose sum is σ = 357215232. Its totient is φ = 18662400.

The previous prime is 85775759. The next prime is 85775773. The reversal of 85775760 is 6757758.

85775760 is a `hidden beast` number, since 8 + 5 + 77 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1406130 + ... + 1406190.

Almost surely, 2^85775760 is an apocalyptic number.

85775760 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 85775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178607616).

85775760 is an abundant number, since it is smaller than the sum of its proper divisors (271439472).

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

85775760 is a wasteful number, since it uses less digits than its factorization.

85775760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

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

The square root of 85775760 is about 9261.5203935423. The cubic root of 85775760 is about 441.0165202752.

85775760 divided by its sum of digits (45) gives a triangular number (1906128 = T₁₉₅₂).

The spelling of 85775760 in words is "eighty-five million, seven hundred seventy-five thousand, seven hundred sixty".