812939680 has 192 divisors, whose sum is σ = 2275354368. Its totient is φ = 268738560.

The previous prime is 812939671. The next prime is 812939689. The reversal of 812939680 is 86939218.

It is an interprime number because it is at equal distance from previous prime (812939671) and next prime (812939689).

It is a self number, because there is not a number n which added to its sum of digits gives 812939680.

It is not an unprimeable number, because it can be changed into a prime (812939689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4987279 + ... + 4987441.

It is an arithmetic number, because the mean of its divisors is an integer number (11850804).

Almost surely, 2^812939680 is an apocalyptic number.

812939680 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 812939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137677184).

812939680 is an abundant number, since it is smaller than the sum of its proper divisors (1462414688).

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

812939680 is a wasteful number, since it uses less digits than its factorization.

812939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 812939680 is about 28512.0970817651. The cubic root of 812939680 is about 933.2960778780.

The spelling of 812939680 in words is "eight hundred twelve million, nine hundred thirty-nine thousand, six hundred eighty".