85802760 has 128 divisors (see below), whose sum is σ = 291600000. Its totient is φ = 22434048.

The previous prime is 85802753. The next prime is 85802767. The reversal of 85802760 is 6720858.

85802760 is a `hidden beast` number, since 8 + 580 + 2 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85802753) and next prime (85802767).

It is a super-2 number, since 2×85802760² = 14724227247235200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85802767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56491 + ... + 57989.

It is an arithmetic number, because the mean of its divisors is an integer number (2278125).

Almost surely, 2^85802760 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 85802760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145800000).

85802760 is an abundant number, since it is smaller than the sum of its proper divisors (205797240).

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

85802760 is a wasteful number, since it uses less digits than its factorization.

85802760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85802760 is about 9262.9779228928. The cubic root of 85802760 is about 441.0627889680.

The spelling of 85802760 in words is "eighty-five million, eight hundred two thousand, seven hundred sixty".