812685600 has 216 divisors, whose sum is σ = 2936694852. Its totient is φ = 211353600.

The previous prime is 812685583. The next prime is 812685661. The reversal of 812685600 is 6586218.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 274631184 + 538054416 = 16572^2 + 23196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293824 + ... + 296576.

Almost surely, 2^812685600 is an apocalyptic number.

812685600 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 812685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468347426).

812685600 is an abundant number, since it is smaller than the sum of its proper divisors (2124009252).

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

812685600 is a wasteful number, since it uses less digits than its factorization.

812685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 812685600 is about 28507.6410809453. The cubic root of 812685600 is about 933.1988354944.

It can be divided in two parts, 81268 and 5600, that added together give a palindrome (86868).

The spelling of 812685600 in words is "eight hundred twelve million, six hundred eighty-five thousand, six hundred".