9780480 has 144 divisors (see below), whose sum is σ = 34829760. Its totient is φ = 2598912.

The previous prime is 9780473. The next prime is 9780487. The reversal of 9780480 is 840879.

It is an interprime number because it is at equal distance from previous prime (9780473) and next prime (9780487).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9780487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34419 + ... + 34701.

Almost surely, 2^9780480 is an apocalyptic number.

9780480 is a gapful number since it is divisible by the number (90) 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 9780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17414880).

9780480 is an abundant number, since it is smaller than the sum of its proper divisors (25049280).

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

9780480 is a wasteful number, since it uses less digits than its factorization.

9780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

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

The square root of 9780480 is about 3127.3758968183. The cubic root of 9780480 is about 213.8553189820.

The spelling of 9780480 in words is "nine million, seven hundred eighty thousand, four hundred eighty".