812677824 has 84 divisors (see below), whose sum is σ = 2662178064. Its totient is φ = 232192512.

The previous prime is 812677793. The next prime is 812677847. The reversal of 812677824 is 428776218.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 812677824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96747 + ... + 104810.

It is an arithmetic number, because the mean of its divisors is an integer number (31692596).

Almost surely, 2^812677824 is an apocalyptic number.

812677824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

812677824 is an abundant number, since it is smaller than the sum of its proper divisors (1849500240).

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

812677824 is a wasteful number, since it uses less digits than its factorization.

812677824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201582 (or 201569 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 812677824 is about 28507.5046961322. The cubic root of 812677824 is about 933.1958591170.

The spelling of 812677824 in words is "eight hundred twelve million, six hundred seventy-seven thousand, eight hundred twenty-four".