7668882300 has 288 divisors, whose sum is σ = 23778033664. Its totient is φ = 1905120000.

The previous prime is 7668882289. The next prime is 7668882337. The reversal of 7668882300 is 32888667.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7668882300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50787225 + ... + 50787375.

Almost surely, 2^7668882300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668882300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11889016832).

7668882300 is an abundant number, since it is smaller than the sum of its proper divisors (16109151364).

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

7668882300 is a wasteful number, since it uses less digits than its factorization.

7668882300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 7668882300 is about 87572.1548210389. The cubic root of 7668882300 is about 1972.0171647707.

The spelling of 7668882300 in words is "seven billion, six hundred sixty-eight million, eight hundred eighty-two thousand, three hundred".