812978960 has 40 divisors (see below), whose sum is σ = 1897753536. Its totient is φ = 323888000.

The previous prime is 812978939. The next prime is 812978977. The reversal of 812978960 is 69879218.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×812978960³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 812978899 and 812978908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164 + ... + 40323.

Almost surely, 2^812978960 is an apocalyptic number.

812978960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812978960 is an abundant number, since it is smaller than the sum of its proper divisors (1084774576).

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

812978960 is a wasteful number, since it uses less digits than its factorization.

812978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40751 (or 40745 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The square root of 812978960 is about 28512.7859038713. The cubic root of 812978960 is about 933.3111094481.

The spelling of 812978960 in words is "eight hundred twelve million, nine hundred seventy-eight thousand, nine hundred sixty".