812429968 has 80 divisors (see below), whose sum is σ = 1934161920. Its totient is φ = 322800768.

The previous prime is 812429963. The next prime is 812429993. The reversal of 812429968 is 869924218.

It is not an unprimeable number, because it can be changed into a prime (812429963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95955 + ... + 104077.

It is an arithmetic number, because the mean of its divisors is an integer number (24177024).

Almost surely, 2^812429968 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 812429968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967080960).

812429968 is an abundant number, since it is smaller than the sum of its proper divisors (1121731952).

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

812429968 is a wasteful number, since it uses less digits than its factorization.

812429968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8198 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The square root of 812429968 is about 28503.1571584623. The cubic root of 812429968 is about 933.1009786677.

The spelling of 812429968 in words is "eight hundred twelve million, four hundred twenty-nine thousand, nine hundred sixty-eight".