8790480 has 120 divisors (see below), whose sum is σ = 30611880. Its totient is φ = 2257920.

The previous prime is 8790473. The next prime is 8790487. The reversal of 8790480 is 840978.

It is an interprime number because it is at equal distance from previous prime (8790473) and next prime (8790487).

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 8785296 = 72^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8790487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20670 + ... + 21090.

It is an arithmetic number, because the mean of its divisors is an integer number (255099).

Almost surely, 2^8790480 is an apocalyptic number.

8790480 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 8790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305940).

8790480 is an abundant number, since it is smaller than the sum of its proper divisors (21821400).

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

8790480 is a wasteful number, since it uses less digits than its factorization.

8790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8790480 is about 2964.8743649605. The cubic root of 8790480 is about 206.3815469351.

The spelling of 8790480 in words is "eight million, seven hundred ninety thousand, four hundred eighty".