812642960 has 80 divisors (see below), whose sum is σ = 1954093680. Its totient is φ = 314081280.

The previous prime is 812642921. The next prime is 812642981. The reversal of 812642960 is 69246218.

812642960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 620944 + 812022016 = 788^2 + 28496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356384 + ... + 358656.

It is an arithmetic number, because the mean of its divisors is an integer number (24426171).

Almost surely, 2^812642960 is an apocalyptic number.

812642960 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 812642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977046840).

812642960 is an abundant number, since it is smaller than the sum of its proper divisors (1141450720).

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

812642960 is a wasteful number, since it uses less digits than its factorization.

812642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 812642960 is about 28506.8932014697. The cubic root of 812642960 is about 933.1825141789.

The spelling of 812642960 in words is "eight hundred twelve million, six hundred forty-two thousand, nine hundred sixty".