75476560 has 40 divisors (see below), whose sum is σ = 181539720. Its totient is φ = 29148672.

The previous prime is 75476543. The next prime is 75476561. The reversal of 75476560 is 6567457.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3701776 + 71774784 = 1924^2 + 8472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×75476560² = 11393422218867200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75476561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13947 + ... + 18586.

It is an arithmetic number, because the mean of its divisors is an integer number (4538493).

Almost surely, 2^75476560 is an apocalyptic number.

It is an amenable number.

75476560 is an abundant number, since it is smaller than the sum of its proper divisors (106063160).

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

75476560 is a wasteful number, since it uses less digits than its factorization.

75476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32575 (or 32569 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 75476560 is about 8687.7246733538. The cubic root of 75476560 is about 422.6076613698.

The spelling of 75476560 in words is "seventy-five million, four hundred seventy-six thousand, five hundred sixty".