812824896 has 112 divisors (see below), whose sum is σ = 2342692800. Its totient is φ = 247222272.

The previous prime is 812824841. The next prime is 812824897. The reversal of 812824896 is 698428218.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812824897) 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, 220315 + ... + 223973.

It is an arithmetic number, because the mean of its divisors is an integer number (20916900).

Almost surely, 2^812824896 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 812824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171346400).

812824896 is an abundant number, since it is smaller than the sum of its proper divisors (1529867904).

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

812824896 is a wasteful number, since it uses less digits than its factorization.

812824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3766 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 812824896 is about 28510.0841107142. The cubic root of 812824896 is about 933.2521498548.

The spelling of 812824896 in words is "eight hundred twelve million, eight hundred twenty-four thousand, eight hundred ninety-six".