812784000 has 512 divisors, whose sum is σ = 3207859200. Its totient is φ = 178176000.

The previous prime is 812783987. The next prime is 812784017. The reversal of 812784000 is 487218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13775971 + ... + 13776029.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^812784000 is an apocalyptic number.

812784000 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 812784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

812784000 is an abundant number, since it is smaller than the sum of its proper divisors (2395075200).

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

812784000 is a wasteful number, since it uses less digits than its factorization.

812784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 812784000 is about 28509.3668817812. The cubic root of 812784000 is about 933.2364978900.

The spelling of 812784000 in words is "eight hundred twelve million, seven hundred eighty-four thousand".