812736000 has 480 divisors, whose sum is σ = 3136861728. Its totient is φ = 201523200.

The previous prime is 812735977. The next prime is 812736037. The reversal of 812736000 is 637218.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9791959 + ... + 9792041.

Almost surely, 2^812736000 is an apocalyptic number.

812736000 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 812736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568430864).

812736000 is an abundant number, since it is smaller than the sum of its proper divisors (2324125728).

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

812736000 is a wasteful number, since it uses less digits than its factorization.

812736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 812736000 is about 28508.5250407663. The cubic root of 812736000 is about 933.2181263695.

The spelling of 812736000 in words is "eight hundred twelve million, seven hundred thirty-six thousand".