812934144 has 297 divisors, whose sum is σ = 2679222091. Its totient is φ = 246343680.

The previous prime is 812934127. The next prime is 812934181. The reversal of 812934144 is 441439218.

It is a happy number.

The square root of 812934144 is 28512.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (297).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

Its product of digits (27648) is a multiple of the sum of its prime divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 812934099 and 812934108.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73903099 + ... + 73903109.

Almost surely, 2^812934144 is an apocalyptic number.

812934144 is the 28512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812934144

812934144 is an abundant number, since it is smaller than the sum of its proper divisors (1866287947).

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

812934144 is an frugal number, since it uses more digits than its factorization.

812934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 16 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The cubic root of 812934144 is about 933.2939593367.

Multiplying 812934144 by its sum of digits (36), we get a square (29265629184 = 171072²).

812934144 divided by its sum of digits (36) gives a square (22581504 = 4752²).

812934144 divided by its product of digits (27648) gives a triangular number (29403 = T₂₄₂).

The spelling of 812934144 in words is "eight hundred twelve million, nine hundred thirty-four thousand, one hundred forty-four".