806400 has 180 divisors, whose sum is σ = 3298152. Its totient is φ = 184320.

The previous prime is 806389. The next prime is 806447. The reversal of 806400 is 4608.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

806400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115197 + ... + 115203.

2⁸⁰⁶⁴⁰⁰ is an apocalyptic number.

806400 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 806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649076).

806400 is an abundant number, since it is smaller than the sum of its proper divisors (2491752).

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

806400 is a wasteful number, since it uses less digits than its factorization.

806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 806400 is about 897.9977728257. The cubic root of 806400 is about 93.0786708580.

It can be divided in two parts, 80 and 6400, that multiplied together give a cube (512000 = 80³).

The spelling of 806400 in words is "eight hundred six thousand, four hundred".