7356480 has 112 divisors (see below), whose sum is σ = 23896320. Its totient is φ = 1916928.

The previous prime is 7356469. The next prime is 7356493. The reversal of 7356480 is 846537.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75792 + ... + 75888.

It is an arithmetic number, because the mean of its divisors is an integer number (213360).

Almost surely, 2^7356480 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 7356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948160).

7356480 is an abundant number, since it is smaller than the sum of its proper divisors (16539840).

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

7356480 is a wasteful number, since it uses less digits than its factorization.

7356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 7356480 is about 2712.2831710572. The cubic root of 7356480 is about 194.4867502203.

The spelling of 7356480 in words is "seven million, three hundred fifty-six thousand, four hundred eighty".