812349081600 has 576 divisors, whose sum is σ = 3101195260800. Its totient is φ = 183741972480.

The previous prime is 812349081589. The next prime is 812349081641. The reversal of 812349081600 is 6180943218.

It is a super-2 number, since 2×812349081600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104290506 + ... + 104298294.

It is an arithmetic number, because the mean of its divisors is an integer number (5384019550).

Almost surely, 2^812349081600 is an apocalyptic number.

812349081600 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 812349081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550597630400).

812349081600 is an abundant number, since it is smaller than the sum of its proper divisors (2288846179200).

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

812349081600 is a wasteful number, since it uses less digits than its factorization.

812349081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 812349081600 in words is "eight hundred twelve billion, three hundred forty-nine million, eighty-one thousand, six hundred".