75540000 has 120 divisors (see below), whose sum is σ = 247983120. Its totient is φ = 20128000.

The previous prime is 75539987. The next prime is 75540053. The reversal of 75540000 is 4557.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59371 + ... + 60629.

It is an arithmetic number, because the mean of its divisors is an integer number (2066526).

Almost surely, 2^75540000 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 75540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123991560).

75540000 is an abundant number, since it is smaller than the sum of its proper divisors (172443120).

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

75540000 is a wasteful number, since it uses less digits than its factorization.

75540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 75540000 is about 8691.3750350563. The cubic root of 75540000 is about 422.7260324331.

Adding to 75540000 its reverse (4557), we get a palindrome (75544557).

It can be divided in two parts, 755 and 40000, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 75540000 in words is "seventy-five million, five hundred forty thousand".