812409768 has 24 divisors (see below), whose sum is σ = 2200276650. Its totient is φ = 270803232.

The previous prime is 812409757. The next prime is 812409779. The reversal of 812409768 is 867904218.

It is an interprime number because it is at equal distance from previous prime (812409757) and next prime (812409779).

It can be written as a sum of positive squares in only one way, i.e., 806446404 + 5963364 = 28398^2 + 2442^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×812409768² = 1320019262283627648, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5641663 + ... + 5641806.

Almost surely, 2^812409768 is an apocalyptic number.

It is an amenable number.

812409768 is an abundant number, since it is smaller than the sum of its proper divisors (1387866882).

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

812409768 is a wasteful number, since it uses less digits than its factorization.

812409768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283481 (or 11283474 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 812409768 is about 28502.8028095484. The cubic root of 812409768 is about 933.0932451618.

The spelling of 812409768 in words is "eight hundred twelve million, four hundred nine thousand, seven hundred sixty-eight".