85790400 has 168 divisors, whose sum is σ = 287054544. Its totient is φ = 22425600.

The previous prime is 85790399. The next prime is 85790413. The reversal of 85790400 is 409758.

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 23 ways as a sum of consecutive naturals, for example, 292654 + ... + 292946.

It is an arithmetic number, because the mean of its divisors is an integer number (1708658).

Almost surely, 2^85790400 is an apocalyptic number.

85790400 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 85790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143527272).

85790400 is an abundant number, since it is smaller than the sum of its proper divisors (201264144).

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

85790400 is a wasteful number, since it uses less digits than its factorization.

85790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85790400 is about 9262.3107268111. The cubic root of 85790400 is about 441.0416093935.

The spelling of 85790400 in words is "eighty-five million, seven hundred ninety thousand, four hundred".