768222000 has 720 divisors, whose sum is σ = 3411469152. Its totient is φ = 159667200.

The previous prime is 768221989. The next prime is 768222019. The reversal of 768222000 is 222867.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×768222000³ (a number of 28 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 11465967 + ... + 11466033.

Almost surely, 2^768222000 is an apocalyptic number.

768222000 is a gapful number since it is divisible by the number (70) 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 768222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705734576).

768222000 is an abundant number, since it is smaller than the sum of its proper divisors (2643247152).

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

768222000 is a wasteful number, since it uses less digits than its factorization.

768222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 768222000 is about 27716.8179991860. The cubic root of 768222000 is about 915.8596239314.

Adding to 768222000 its reverse (222867), we get a palindrome (768444867).

The spelling of 768222000 in words is "seven hundred sixty-eight million, two hundred twenty-two thousand".