75504980 has 54 divisors (see below), whose sum is σ = 166704174. Its totient is φ = 28725312.

The previous prime is 75504977. The next prime is 75504991. The reversal of 75504980 is 8940557.

It can be written as a sum of positive squares in 3 ways, for example, as 8690704 + 66814276 = 2948^2 + 8174^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1126907 + ... + 1126973.

Almost surely, 2^75504980 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 75504980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83352087).

75504980 is an abundant number, since it is smaller than the sum of its proper divisors (91199194).

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

75504980 is a wasteful number, since it uses less digits than its factorization.

75504980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 75504980 is about 8689.3601605642. The cubic root of 75504980 is about 422.6606977146.

The spelling of 75504980 in words is "seventy-five million, five hundred four thousand, nine hundred eighty".