812895264 has 144 divisors (see below), whose sum is σ = 2422169568. Its totient is φ = 268157952.

The previous prime is 812895253. The next prime is 812895311. The reversal of 812895264 is 462598218.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831544 + ... + 832520.

It is an arithmetic number, because the mean of its divisors is an integer number (16820622).

Almost surely, 2^812895264 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 812895264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211084784).

812895264 is an abundant number, since it is smaller than the sum of its proper divisors (1609274304).

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

812895264 is a wasteful number, since it uses less digits than its factorization.

812895264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1089 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 812895264 is about 28511.3181736657. The cubic root of 812895264 is about 933.2790802931.

The spelling of 812895264 in words is "eight hundred twelve million, eight hundred ninety-five thousand, two hundred sixty-four".