75055680 has 448 divisors, whose sum is σ = 324794880. Its totient is φ = 15925248.

The previous prime is 75055661. The next prime is 75055709. The reversal of 75055680 is 8655057.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028124 + ... + 1028196.

Almost surely, 2^75055680 is an apocalyptic number.

75055680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397440).

75055680 is an abundant number, since it is smaller than the sum of its proper divisors (249739200).

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

75055680 is a wasteful number, since it uses less digits than its factorization.

75055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 75055680 is about 8663.4681277188. The cubic root of 75055680 is about 421.8206675708.

The spelling of 75055680 in words is "seventy-five million, fifty-five thousand, six hundred eighty".