8772300 has 162 divisors, whose sum is σ = 30094428. Its totient is φ = 2216160.

The previous prime is 8772299. The next prime is 8772307. The reversal of 8772300 is 32778.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8772300 is nontrivially palindromic in base 8.

8772300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8772307) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 461691 + ... + 461709.

Almost surely, 2^8772300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8772300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047214).

8772300 is an abundant number, since it is smaller than the sum of its proper divisors (21322128).

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

8772300 is a wasteful number, since it uses less digits than its factorization.

8772300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 8772300 is about 2961.8068809428. The cubic root of 8772300 is about 206.2391729854.

Multiplying 8772300 by its sum of digits (27), we get a square (236852100 = 15390²).

8772300 divided by its sum of digits (27) gives a square (324900 = 570²).

Multiplying 8772300 by its product of nonzero digits (2352), we get a square (20632449600 = 143640²).

The spelling of 8772300 in words is "eight million, seven hundred seventy-two thousand, three hundred".