820675680 has 384 divisors, whose sum is σ = 3072577536. Its totient is φ = 181862400.

The previous prime is 820675643. The next prime is 820675699. The reversal of 820675680 is 86576028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3680049 + ... + 3680271.

It is an arithmetic number, because the mean of its divisors is an integer number (8001504).

Almost surely, 2^820675680 is an apocalyptic number.

820675680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536288768).

820675680 is an abundant number, since it is smaller than the sum of its proper divisors (2251901856).

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

820675680 is a wasteful number, since it uses less digits than its factorization.

820675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 820675680 is about 28647.4375817454. The cubic root of 820675680 is about 936.2471770316.

The spelling of 820675680 in words is "eight hundred twenty million, six hundred seventy-five thousand, six hundred eighty".