85397760 has 288 divisors, whose sum is σ = 347316480. Its totient is φ = 19464192.

The previous prime is 85397747. The next prime is 85397771. The reversal of 85397760 is 6779358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 241744 + ... + 242096.

It is an arithmetic number, because the mean of its divisors is an integer number (1205960).

Almost surely, 2^85397760 is an apocalyptic number.

85397760 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 85397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173658240).

85397760 is an abundant number, since it is smaller than the sum of its proper divisors (261918720).

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

85397760 is a wasteful number, since it uses less digits than its factorization.

85397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 85397760 is about 9241.0908447001. The cubic root of 85397760 is about 440.3677366501.

The spelling of 85397760 in words is "eighty-five million, three hundred ninety-seven thousand, seven hundred sixty".