812084023296 has 1664 divisors, whose sum is σ = 3240962457600. Its totient is φ = 194925035520.

The previous prime is 812084023291. The next prime is 812084023307. The reversal of 812084023296 is 692320480218.

812084023296 is a `hidden beast` number, since 8 + 1 + 208 + 402 + 32 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-3 number, since 3×812084023296³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812084023291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5927620540 + ... + 5927620676.

Almost surely, 2^812084023296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812084023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620481228800).

812084023296 is an abundant number, since it is smaller than the sum of its proper divisors (2428878434304).

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

812084023296 is a wasteful number, since it uses less digits than its factorization.

812084023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 812084023296 in words is "eight hundred twelve billion, eighty-four million, twenty-three thousand, two hundred ninety-six".