8283770880 has 832 divisors, whose sum is σ = 35328503808. Its totient is φ = 1604321280.

The previous prime is 8283770867. The next prime is 8283770899. The reversal of 8283770880 is 880773828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 80424909 + ... + 80425011.

It is an arithmetic number, because the mean of its divisors is an integer number (42462144).

Almost surely, 2^8283770880 is an apocalyptic number.

8283770880 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 8283770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664251904).

8283770880 is an abundant number, since it is smaller than the sum of its proper divisors (27044732928).

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

8283770880 is a wasteful number, since it uses less digits than its factorization.

8283770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 8283770880 is about 91015.2233420322. The cubic root of 8283770880 is about 2023.3733524330.

The spelling of 8283770880 in words is "eight billion, two hundred eighty-three million, seven hundred seventy thousand, eight hundred eighty".