85276800 has 480 divisors, whose sum is σ = 367297920. Its totient is φ = 19077120.

The previous prime is 85276781. The next prime is 85276813. The reversal of 85276800 is 867258.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814377 + ... + 1814423.

It is an arithmetic number, because the mean of its divisors is an integer number (765204).

Almost surely, 2^85276800 is an apocalyptic number.

85276800 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 85276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

85276800 is an abundant number, since it is smaller than the sum of its proper divisors (282021120).

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

85276800 is a wasteful number, since it uses less digits than its factorization.

85276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

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

The square root of 85276800 is about 9234.5438436341. The cubic root of 85276800 is about 440.1597216278.

The spelling of 85276800 in words is "eighty-five million, two hundred seventy-six thousand, eight hundred".