75830880 has 96 divisors (see below), whose sum is σ = 252945504. Its totient is φ = 19030016.

The previous prime is 75830879. The next prime is 75830899. The reversal of 75830880 is 8803857.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3514 + ... + 12806.

It is an arithmetic number, because the mean of its divisors is an integer number (2634849).

Almost surely, 2^75830880 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 75830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126472752).

75830880 is an abundant number, since it is smaller than the sum of its proper divisors (177114624).

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

75830880 is a wasteful number, since it uses less digits than its factorization.

75830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 75830880 is about 8708.0927877464. The cubic root of 75830880 is about 423.2679310099.

The spelling of 75830880 in words is "seventy-five million, eight hundred thirty thousand, eight hundred eighty".