812663040 has 288 divisors, whose sum is σ = 3031660800. Its totient is φ = 185450496.

The previous prime is 812663017. The next prime is 812663081. The reversal of 812663040 is 40366218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 812662989 and 812663007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316812 + ... + 1317428.

It is an arithmetic number, because the mean of its divisors is an integer number (10526600).

Almost surely, 2^812663040 is an apocalyptic number.

812663040 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 812663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515830400).

812663040 is an abundant number, since it is smaller than the sum of its proper divisors (2218997760).

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

812663040 is an equidigital number, since it uses as much as digits as its factorization.

812663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 812663040 is about 28507.2453948115. The cubic root of 812663040 is about 933.1902002729.

The spelling of 812663040 in words is "eight hundred twelve million, six hundred sixty-three thousand, forty".