812421792 has 192 divisors, whose sum is σ = 2916668160. Its totient is φ = 214244352.

The previous prime is 812421761. The next prime is 812421853. The reversal of 812421792 is 297124218.

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

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 73458 + ... + 83790.

It is an arithmetic number, because the mean of its divisors is an integer number (15190980).

Almost surely, 2^812421792 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 812421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458334080).

812421792 is an abundant number, since it is smaller than the sum of its proper divisors (2104246368).

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

812421792 is a wasteful number, since it uses less digits than its factorization.

812421792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372 (or 10358 counting only the distinct ones).

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

The square root of 812421792 is about 28503.0137353930. The cubic root of 812421792 is about 933.0978485275.

The spelling of 812421792 in words is "eight hundred twelve million, four hundred twenty-one thousand, seven hundred ninety-two".