75404560 has 80 divisors (see below), whose sum is σ = 218593152. Its totient is φ = 23500800.

The previous prime is 75404513. The next prime is 75404573. The reversal of 75404560 is 6540457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40 + ... + 12280.

Almost surely, 2^75404560 is an apocalyptic number.

75404560 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 75404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109296576).

75404560 is an abundant number, since it is smaller than the sum of its proper divisors (143188592).

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

75404560 is a wasteful number, since it uses less digits than its factorization.

75404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12272 (or 12266 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 75404560 is about 8683.5799069278. The cubic root of 75404560 is about 422.4732380374.

It can be divided in two parts, 7540 and 4560, that added together give a square (12100 = 110²).

The spelling of 75404560 in words is "seventy-five million, four hundred four thousand, five hundred sixty".