821678676 has 72 divisors (see below), whose sum is σ = 2372698944. Its totient is φ = 216702720.

The previous prime is 821678651. The next prime is 821678677. The reversal of 821678676 is 676876128.

821678676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×821678676² = 1350311693186225952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821678677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14745 + ... + 43136.

It is an arithmetic number, because the mean of its divisors is an integer number (32954152).

Almost surely, 2^821678676 is an apocalyptic number.

It is an amenable number.

821678676 is an abundant number, since it is smaller than the sum of its proper divisors (1551020268).

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

821678676 is a wasteful number, since it uses less digits than its factorization.

821678676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57921 (or 57906 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 821678676 is about 28664.9380951713. The cubic root of 821678676 is about 936.6284359946.

The spelling of 821678676 in words is "eight hundred twenty-one million, six hundred seventy-eight thousand, six hundred seventy-six".