75516480 has 168 divisors, whose sum is σ = 279864312. Its totient is φ = 18579456.

The previous prime is 75516479. The next prime is 75516487. The reversal of 75516480 is 8461557.

75516480 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 68161536 = 2712^2 + 8256^2 .

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

It is not an unprimeable number, because it can be changed into a prime (75516487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36432 + ... + 38448.

It is an arithmetic number, because the mean of its divisors is an integer number (1665859).

Almost surely, 2^75516480 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 75516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139932156).

75516480 is an abundant number, since it is smaller than the sum of its proper divisors (204347832).

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

75516480 is a wasteful number, since it uses less digits than its factorization.

75516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75516480 is about 8690.0218641842. The cubic root of 75516480 is about 422.6821548038.

The spelling of 75516480 in words is "seventy-five million, five hundred sixteen thousand, four hundred eighty".