8868820800 has 168 divisors, whose sum is σ = 33253980736. Its totient is φ = 2027151360.

The previous prime is 8868820787. The next prime is 8868820813. The reversal of 8868820800 is 80288688.

It is an interprime number because it is at equal distance from previous prime (8868820787) and next prime (8868820813).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8868820800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98377 + ... + 165576.

Almost surely, 2^8868820800 is an apocalyptic number.

8868820800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8868820800 is an abundant number, since it is smaller than the sum of its proper divisors (24385159936).

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

8868820800 is a wasteful number, since it uses less digits than its factorization.

8868820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263985 (or 263970 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 8868820800 is about 94174.4169082028. The cubic root of 8868820800 is about 2069.9282572162.

The spelling of 8868820800 in words is "eight billion, eight hundred sixty-eight million, eight hundred twenty thousand, eight hundred".