85300400 has 60 divisors (see below), whose sum is σ = 206953272. Its totient is φ = 33784320.

The previous prime is 85300363. The next prime is 85300451. The reversal of 85300400 is 400358.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41804 + ... + 43796.

Almost surely, 2^85300400 is an apocalyptic number.

85300400 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 85300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103476636).

85300400 is an abundant number, since it is smaller than the sum of its proper divisors (121652872).

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

85300400 is a wasteful number, since it uses less digits than its factorization.

85300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 85300400 is about 9235.8215660546. The cubic root of 85300400 is about 440.2003220072.

Adding to 85300400 its reverse (400358), we get a palindrome (85700758).

The spelling of 85300400 in words is "eighty-five million, three hundred thousand, four hundred".