85176800 has 72 divisors (see below), whose sum is σ = 220204656. Its totient is φ = 32061440.

The previous prime is 85176781. The next prime is 85176853. The reversal of 85176800 is 867158.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10469 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (3058398).

Almost surely, 2^85176800 is an apocalyptic number.

85176800 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 85176800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110102328).

85176800 is an abundant number, since it is smaller than the sum of its proper divisors (135027856).

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

85176800 is a wasteful number, since it uses less digits than its factorization.

85176800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 85176800 is about 9229.1278027775. The cubic root of 85176800 is about 439.9876029565.

The spelling of 85176800 in words is "eighty-five million, one hundred seventy-six thousand, eight hundred".