812241792 has 192 divisors, whose sum is σ = 2520460800. Its totient is φ = 250242048.

The previous prime is 812241769. The next prime is 812241817. The reversal of 812241792 is 297142218.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940753 + ... + 941615.

It is an arithmetic number, because the mean of its divisors is an integer number (13127400).

Almost surely, 2^812241792 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 812241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260230400).

812241792 is an abundant number, since it is smaller than the sum of its proper divisors (1708219008).

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

812241792 is a wasteful number, since it uses less digits than its factorization.

812241792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 930 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 812241792 is about 28499.8559996362. The cubic root of 812241792 is about 933.0289311169.

The spelling of 812241792 in words is "eight hundred twelve million, two hundred forty-one thousand, seven hundred ninety-two".