820675800 has 240 divisors, whose sum is σ = 3257968560. Its totient is φ = 187557120.

The previous prime is 820675783. The next prime is 820675829. The reversal of 820675800 is 8576028.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109782 + ... + 117018.

It is an arithmetic number, because the mean of its divisors is an integer number (13574869).

Almost surely, 2^820675800 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 820675800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628984280).

820675800 is an abundant number, since it is smaller than the sum of its proper divisors (2437292760).

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

820675800 is a wasteful number, since it uses less digits than its factorization.

820675800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 820675800 is about 28647.4396761735. The cubic root of 820675800 is about 936.2472226646.

The spelling of 820675800 in words is "eight hundred twenty million, six hundred seventy-five thousand, eight hundred".