812800 has 54 divisors (see below), whose sum is σ = 2027648. Its totient is φ = 322560.

The previous prime is 812761. The next prime is 812807. The reversal of 812800 is 8218.

It is a happy number.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6337 + ... + 6463.

2⁸¹²⁸⁰⁰ is an apocalyptic number.

812800 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 812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013824).

812800 is an abundant number, since it is smaller than the sum of its proper divisors (1214848).

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

812800 is a wasteful number, since it uses less digits than its factorization.

812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 812800 is about 901.5542135668. The cubic root of 812800 is about 93.3242621569.

It can be divided in two parts, 8 and 12800, that multiplied together give a square (102400 = 320²).

The spelling of 812800 in words is "eight hundred twelve thousand, eight hundred".