8206773120 has 1024 divisors, whose sum is σ = 38000793600. Its totient is φ = 1624375296.

The previous prime is 8206773101. The next prime is 8206773187. The reversal of 8206773120 is 213776028.

It is a super-2 number, since 2×8206773120² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26732007 + ... + 26732313.

It is an arithmetic number, because the mean of its divisors is an integer number (37110150).

Almost surely, 2^8206773120 is an apocalyptic number.

8206773120 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 8206773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000396800).

8206773120 is an abundant number, since it is smaller than the sum of its proper divisors (29794020480).

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

8206773120 is a wasteful number, since it uses less digits than its factorization.

8206773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 8206773120 is about 90591.2419607988. The cubic root of 8206773120 is about 2017.0847337013.

The spelling of 8206773120 in words is "eight billion, two hundred six million, seven hundred seventy-three thousand, one hundred twenty".