85300800 has 168 divisors, whose sum is σ = 301605696. Its totient is φ = 20981760.

The previous prime is 85300793. The next prime is 85300807. The reversal of 85300800 is 800358.

It is an interprime number because it is at equal distance from previous prime (85300793) and next prime (85300807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (85300807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61717 + ... + 63083.

It is an arithmetic number, because the mean of its divisors is an integer number (1795272).

Almost surely, 2^85300800 is an apocalyptic number.

85300800 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 85300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150802848).

85300800 is an abundant number, since it is smaller than the sum of its proper divisors (216304896).

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

85300800 is a wasteful number, since it uses less digits than its factorization.

85300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 85300800 is about 9235.8432208435. The cubic root of 85300800 is about 440.2010100847.

The spelling of 85300800 in words is "eighty-five million, three hundred thousand, eight hundred".