75878208 has 336 divisors, whose sum is σ = 279586944. Its totient is φ = 19906560.

The previous prime is 75878207. The next prime is 75878233. The reversal of 75878208 is 80287857.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75878207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850668 + ... + 1850708.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^75878208 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 75878208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

75878208 is an abundant number, since it is smaller than the sum of its proper divisors (203708736).

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

75878208 is a wasteful number, since it uses less digits than its factorization.

75878208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 75878208 is about 8710.8098360600. The cubic root of 75878208 is about 423.3559701592.

The spelling of 75878208 in words is "seventy-five million, eight hundred seventy-eight thousand, two hundred eight".