8772666800 has 60 divisors (see below), whose sum is σ = 21110340816. Its totient is φ = 3503404800.

The previous prime is 8772666751. The next prime is 8772666817. The reversal of 8772666800 is 86662778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235022 + ... + 269778.

Almost surely, 2^8772666800 is an apocalyptic number.

8772666800 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 8772666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10555170408).

8772666800 is an abundant number, since it is smaller than the sum of its proper divisors (12337674016).

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

8772666800 is a wasteful number, since it uses less digits than its factorization.

8772666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35406 (or 35395 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The square root of 8772666800 is about 93662.5154477500. The cubic root of 8772666800 is about 2062.4204746809.

The spelling of 8772666800 in words is "eight billion, seven hundred seventy-two million, six hundred sixty-six thousand, eight hundred".