812070688 has 216 divisors, whose sum is σ = 2042431524. Its totient is φ = 316293120.

The previous prime is 812070661. The next prime is 812070719. The reversal of 812070688 is 886070218.

It can be written as a sum of positive squares in 6 ways, for example, as 241243024 + 570827664 = 15532^2 + 23892^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 812070688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11124220 + ... + 11124292.

Almost surely, 2^812070688 is an apocalyptic number.

812070688 is a gapful number since it is divisible by the number (88) 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 812070688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021215762).

812070688 is an abundant number, since it is smaller than the sum of its proper divisors (1230360836).

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

812070688 is a wasteful number, since it uses less digits than its factorization.

812070688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 812070688 is about 28496.8540018017. The cubic root of 812070688 is about 932.9634103179.

The spelling of 812070688 in words is "eight hundred twelve million, seventy thousand, six hundred eighty-eight".