75550800 has 240 divisors, whose sum is σ = 271232640. Its totient is φ = 17848320.

The previous prime is 75550799. The next prime is 75550801. The reversal of 75550800 is 805557.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75550799) and next prime (75550801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75550801) 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 47 ways as a sum of consecutive naturals, for example, 452317 + ... + 452483.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^75550800 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 75550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135616320).

75550800 is an abundant number, since it is smaller than the sum of its proper divisors (195681840).

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

75550800 is a wasteful number, since it uses less digits than its factorization.

75550800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 75550800 is about 8691.9963184530. The cubic root of 75550800 is about 422.7461772729.

The spelling of 75550800 in words is "seventy-five million, five hundred fifty thousand, eight hundred".