812680128 has 280 divisors, whose sum is σ = 2684922240. Its totient is φ = 241367040.

The previous prime is 812680109. The next prime is 812680139. The reversal of 812680128 is 821086218.

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

It is a junction number, because it is equal to n+sod(n) for n = 812680092 and 812680101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2088958 + ... + 2089346.

It is an arithmetic number, because the mean of its divisors is an integer number (9589008).

Almost surely, 2^812680128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342461120).

812680128 is an abundant number, since it is smaller than the sum of its proper divisors (1872242112).

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

812680128 is a wasteful number, since it uses less digits than its factorization.

812680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 812680128 is about 28507.5451065152. The cubic root of 812680128 is about 933.1967410086.

The spelling of 812680128 in words is "eight hundred twelve million, six hundred eighty thousand, one hundred twenty-eight".