85781280 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 20668416.

The previous prime is 85781279. The next prime is 85781291. The reversal of 85781280 is 8218758.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 368044 + ... + 368276.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^85781280 is an apocalyptic number.

85781280 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 85781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

85781280 is an abundant number, since it is smaller than the sum of its proper divisors (211417440).

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

85781280 is a wasteful number, since it uses less digits than its factorization.

85781280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 85781280 is about 9261.8183959739. The cubic root of 85781280 is about 441.0259804419.

The spelling of 85781280 in words is "eighty-five million, seven hundred eighty-one thousand, two hundred eighty".