8772880435200 has 576 divisors, whose sum is σ = 36827861616000. Its totient is φ = 2005227601920.

The previous prime is 8772880435177. The next prime is 8772880435211. The reversal of 8772880435200 is 25340882778.

8772880435200 is a `hidden beast` number, since 8 + 7 + 7 + 288 + 0 + 4 + 352 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8772880435200² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9223506 + ... + 10130094.

It is an arithmetic number, because the mean of its divisors is an integer number (63937259750).

Almost surely, 2^{8772880435200} is an apocalyptic number.

8772880435200 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 8772880435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413930808000).

8772880435200 is an abundant number, since it is smaller than the sum of its proper divisors (28054981180800).

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

8772880435200 is a wasteful number, since it uses less digits than its factorization.

8772880435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906637 (or 906606 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 8772880435200 in words is "eight trillion, seven hundred seventy-two billion, eight hundred eighty million, four hundred thirty-five thousand, two hundred".