7534080 has 160 divisors (see below), whose sum is σ = 27007200. Its totient is φ = 1990656.

The previous prime is 7534069. The next prime is 7534081. The reversal of 7534080 is 804357.

7534080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×7534080² = 113524722892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7534081) 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, 69066 + ... + 69174.

It is an arithmetic number, because the mean of its divisors is an integer number (168795).

Almost surely, 2^7534080 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 7534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503600).

7534080 is an abundant number, since it is smaller than the sum of its proper divisors (19473120).

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

7534080 is a wasteful number, since it uses less digits than its factorization.

7534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7534080 is about 2744.8278634552. The cubic root of 7534080 is about 196.0394200873.

The spelling of 7534080 in words is "seven million, five hundred thirty-four thousand, eighty".