8764480 has 56 divisors (see below), whose sum is σ = 21259800. Its totient is φ = 3440640.

The previous prime is 8764463. The next prime is 8764487. The reversal of 8764480 is 844678.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 8714304 = 224^2 + 2952^2 .

It is a super-2 number, since 2×8764480² = 153632219340800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8764487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19296 + ... + 19744.

Almost surely, 2^8764480 is an apocalyptic number.

8764480 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 8764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629900).

8764480 is an abundant number, since it is smaller than the sum of its proper divisors (12495320).

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

8764480 is a wasteful number, since it uses less digits than its factorization.

8764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 8764480 is about 2960.4864465152. The cubic root of 8764480 is about 206.1778713196.

It can be divided in two parts, 876 and 4480, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 8764480 in words is "eight million, seven hundred sixty-four thousand, four hundred eighty".