812456064 has 288 divisors, whose sum is σ = 2800313100. Its totient is φ = 225275904.

The previous prime is 812456063. The next prime is 812456077. The reversal of 812456064 is 460654218.

812456064 is a `hidden beast` number, since 8 + 1 + 2 + 45 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 806105664 + 6350400 = 28392^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (812456063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2088382 + ... + 2088770.

Almost surely, 2^812456064 is an apocalyptic number.

812456064 is a gapful number since it is divisible by the number (84) 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 812456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400156550).

812456064 is an abundant number, since it is smaller than the sum of its proper divisors (1987857036).

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

812456064 is a wasteful number, since it uses less digits than its factorization.

812456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 812456064 is about 28503.6149286367. The cubic root of 812456064 is about 933.1109692488.

The spelling of 812456064 in words is "eight hundred twelve million, four hundred fifty-six thousand, sixty-four".