75895680 has 128 divisors (see below), whose sum is σ = 276526080. Its totient is φ = 17344512.

The previous prime is 75895679. The next prime is 75895717. The reversal of 75895680 is 8659857.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10617 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (2160360).

Almost surely, 2^75895680 is an apocalyptic number.

75895680 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 75895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138263040).

75895680 is an abundant number, since it is smaller than the sum of its proper divisors (200630400).

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

75895680 is a wasteful number, since it uses less digits than its factorization.

75895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 75895680 is about 8711.8126701623. The cubic root of 75895680 is about 423.3884621752.

The spelling of 75895680 in words is "seventy-five million, eight hundred ninety-five thousand, six hundred eighty".