7380480 has 120 divisors (see below), whose sum is σ = 24380136. Its totient is φ = 1904640.

The previous prime is 7380479. The next prime is 7380481. The reversal of 7380480 is 840837.

It is an interprime number because it is at equal distance from previous prime (7380479) and next prime (7380481).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7380481) 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, 238065 + ... + 238095.

Almost surely, 2^7380480 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 7380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190068).

7380480 is an abundant number, since it is smaller than the sum of its proper divisors (16999656).

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

7380480 is an equidigital number, since it uses as much as digits as its factorization.

7380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7380480 is about 2716.7038852256. The cubic root of 7380480 is about 194.6980204288.

Multiplying 7380480 by its sum of digits (30), we get a square (221414400 = 14880²).

7380480 divided by its sum of digits (30) gives a square (246016 = 496²).

The spelling of 7380480 in words is "seven million, three hundred eighty thousand, four hundred eighty".