75534480 has 180 divisors, whose sum is σ = 295223292. Its totient is φ = 17256960.

The previous prime is 75534467. The next prime is 75534497. The reversal of 75534480 is 8443557.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 22127616 = 7308^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34210 + ... + 36350.

Almost surely, 2^75534480 is an apocalyptic number.

75534480 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 75534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147611646).

75534480 is an abundant number, since it is smaller than the sum of its proper divisors (219688812).

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

75534480 is a wasteful number, since it uses less digits than its factorization.

75534480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 75534480 is about 8691.0574730582. The cubic root of 75534480 is about 422.7157354402.

The spelling of 75534480 in words is "seventy-five million, five hundred thirty-four thousand, four hundred eighty".