7564480 has 112 divisors (see below), whose sum is σ = 22530816. Its totient is φ = 2350080.

The previous prime is 7564477. The next prime is 7564499. The reversal of 7564480 is 844657.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24487 + ... + 24793.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

Almost surely, 2^7564480 is an apocalyptic number.

7564480 is a gapful number since it is divisible by the number (70) 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 7564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265408).

7564480 is an abundant number, since it is smaller than the sum of its proper divisors (14966336).

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

7564480 is a wasteful number, since it uses less digits than its factorization.

7564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 7564480 is about 2750.3599764394. The cubic root of 7564480 is about 196.3027391492.

The spelling of 7564480 in words is "seven million, five hundred sixty-four thousand, four hundred eighty".