8020684800 has 390 divisors, whose sum is σ = 29741258888. Its totient is φ = 2136637440.

The previous prime is 8020684781. The next prime is 8020684807. The reversal of 8020684800 is 84860208.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020684807) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 8293917 + ... + 8294883.

Almost surely, 2^8020684800 is an apocalyptic number.

8020684800 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 8020684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870629444).

8020684800 is an abundant number, since it is smaller than the sum of its proper divisors (21720574088).

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

8020684800 is an equidigital number, since it uses as much as digits as its factorization.

8020684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8020684800 is about 89558.2759994854. The cubic root of 8020684800 is about 2001.7222498354.

The spelling of 8020684800 in words is "eight billion, twenty million, six hundred eighty-four thousand, eight hundred".