8761996800 has 480 divisors, whose sum is σ = 32661852960. Its totient is φ = 2329067520.

The previous prime is 8761996709. The next prime is 8761996807. The reversal of 8761996800 is 86991678.

It is a tau number, because it is divible by the number of its divisors (480).

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 (8761996807) 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, 27993444 + ... + 27993756.

It is an arithmetic number, because the mean of its divisors is an integer number (68045527).

Almost surely, 2^8761996800 is an apocalyptic number.

8761996800 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 8761996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330926480).

8761996800 is an abundant number, since it is smaller than the sum of its proper divisors (23899856160).

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

8761996800 is an frugal number, since it uses more digits than its factorization.

8761996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 8761996800 is about 93605.5382976883. The cubic root of 8761996800 is about 2061.5839766956.

The spelling of 8761996800 in words is "eight billion, seven hundred sixty-one million, nine hundred ninety-six thousand, eight hundred".