8772288000 has 640 divisors, whose sum is σ = 34195239936. Its totient is φ = 1953792000.

The previous prime is 8772287999. The next prime is 8772288001. The reversal of 8772288000 is 8822778.

It is an interprime number because it is at equal distance from previous prime (8772287999) and next prime (8772288001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8772288001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81983947 + ... + 81984053.

Almost surely, 2^8772288000 is an apocalyptic number.

8772288000 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 8772288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097619968).

8772288000 is an abundant number, since it is smaller than the sum of its proper divisors (25422951936).

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

8772288000 is a wasteful number, since it uses less digits than its factorization.

8772288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 8772288000 is about 93660.4932722437. The cubic root of 8772288000 is about 2062.3907894423.

The spelling of 8772288000 in words is "eight billion, seven hundred seventy-two million, two hundred eighty-eight thousand".