75550864 has 45 divisors (see below), whose sum is σ = 152921419. Its totient is φ = 36158720.

The previous prime is 75550861. The next prime is 75550877. The reversal of 75550864 is 46805557.

The square root of 75550864 is 8692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8179600 + 67371264 = 2860^2 + 8208^2 .

It is a super-2 number, since 2×75550864² = 11415866102292992, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75550861) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1425462 + ... + 1425514.

Almost surely, 2^75550864 is an apocalyptic number.

75550864 is the 8692-nd square number.

It is an amenable number.

75550864 is an abundant number, since it is smaller than the sum of its proper divisors (77370555).

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

75550864 is an equidigital number, since it uses as much as digits as its factorization.

75550864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The cubic root of 75550864 is about 422.7462966440.

The spelling of 75550864 in words is "seventy-five million, five hundred fifty thousand, eight hundred sixty-four".