812420904960 has 576 divisors, whose sum is σ = 3278802421440. Its totient is φ = 182184837120.

The previous prime is 812420904941. The next prime is 812420904961. The reversal of 812420904960 is 69409024218.

812420904960 is a `hidden beast` number, since 81 + 2 + 420 + 90 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812420904961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34179480 + ... + 34203240.

It is an arithmetic number, because the mean of its divisors is an integer number (5692365315).

Almost surely, 2^812420904960 is an apocalyptic number.

812420904960 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 812420904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639401210720).

812420904960 is an abundant number, since it is smaller than the sum of its proper divisors (2466381516480).

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

812420904960 is a wasteful number, since it uses less digits than its factorization.

812420904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23854 (or 23831 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 812420904960 in words is "eight hundred twelve billion, four hundred twenty million, nine hundred four thousand, nine hundred sixty".