8772768 has 72 divisors (see below), whose sum is σ = 25316928. Its totient is φ = 2881152.

The previous prime is 8772767. The next prime is 8772773. The reversal of 8772768 is 8672778.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8772768² = 153922916763648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8772763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23721 + ... + 24087.

It is an arithmetic number, because the mean of its divisors is an integer number (351624).

Almost surely, 2^8772768 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 8772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658464).

8772768 is an abundant number, since it is smaller than the sum of its proper divisors (16544160).

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

8772768 is a wasteful number, since it uses less digits than its factorization.

8772768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 8772768 is about 2961.8858857154. The cubic root of 8772768 is about 206.2428405228.

The spelling of 8772768 in words is "eight million, seven hundred seventy-two thousand, seven hundred sixty-eight".