8769945600 has 720 divisors, whose sum is σ = 35267777440. Its totient is φ = 2123366400.

The previous prime is 8769945559. The next prime is 8769945607. The reversal of 8769945600 is 65499678.

8769945600 is a `hidden beast` number, since 8 + 76 + 9 + 9 + 4 + 560 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8769945607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143769570 + ... + 143769630.

Almost surely, 2^8769945600 is an apocalyptic number.

8769945600 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 8769945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633888720).

8769945600 is an abundant number, since it is smaller than the sum of its proper divisors (26497831840).

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

8769945600 is a wasteful number, since it uses less digits than its factorization.

8769945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 8769945600 is about 93647.9876986153. The cubic root of 8769945600 is about 2062.2072047173.

The spelling of 8769945600 in words is "eight billion, seven hundred sixty-nine million, nine hundred forty-five thousand, six hundred".