85751280 has 60 divisors (see below), whose sum is σ = 287983800. Its totient is φ = 22866816.

The previous prime is 85751279. The next prime is 85751287. The reversal of 85751280 is 8215758.

85751280 is a `hidden beast` number, since 8 + 575 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85751287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58830 + ... + 60269.

It is an arithmetic number, because the mean of its divisors is an integer number (4799730).

Almost surely, 2^85751280 is an apocalyptic number.

85751280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85751280 is an abundant number, since it is smaller than the sum of its proper divisors (202232520).

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

85751280 is a wasteful number, since it uses less digits than its factorization.

85751280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119118 (or 119109 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85751280 is about 9260.1987019718. The cubic root of 85751280 is about 440.9745616005.

The spelling of 85751280 in words is "eighty-five million, seven hundred fifty-one thousand, two hundred eighty".