75775680 has 168 divisors, whose sum is σ = 264609072. Its totient is φ = 19900416.

The previous prime is 75775663. The next prime is 75775699. The reversal of 75775680 is 8657757.

It is a super-3 number, since 3×75775680³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238882 + ... + 239198.

It is an arithmetic number, because the mean of its divisors is an integer number (1575054).

Almost surely, 2^75775680 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 75775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132304536).

75775680 is an abundant number, since it is smaller than the sum of its proper divisors (188833392).

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

75775680 is a wasteful number, since it uses less digits than its factorization.

75775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 75775680 is about 8704.9227452057. The cubic root of 75775680 is about 423.1652021421.

The spelling of 75775680 in words is "seventy-five million, seven hundred seventy-five thousand, six hundred eighty".