8429222880 has 768 divisors, whose sum is σ = 34368364800. Its totient is φ = 1934917632.

The previous prime is 8429222861. The next prime is 8429222917. The reversal of 8429222880 is 882229248.

8429222880 is a `hidden beast` number, since 84 + 292 + 2 + 288 + 0 = 666.

It is a super-3 number, since 3×8429222880³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 77332266 + ... + 77332374.

It is an arithmetic number, because the mean of its divisors is an integer number (44750475).

Almost surely, 2^8429222880 is an apocalyptic number.

8429222880 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 8429222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184182400).

8429222880 is an abundant number, since it is smaller than the sum of its proper divisors (25939141920).

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

8429222880 is a wasteful number, since it uses less digits than its factorization.

8429222880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8429222880 is about 91810.7993647806. The cubic root of 8429222880 is about 2035.1472891519.

The spelling of 8429222880 in words is "eight billion, four hundred twenty-nine million, two hundred twenty-two thousand, eight hundred eighty".