75880656 has 120 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 23528448.

The previous prime is 75880643. The next prime is 75880663. The reversal of 75880656 is 65608857.

75880656 is a `hidden beast` number, since 7 + 588 + 0 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 340161 + ... + 340383.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^75880656 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 75880656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

75880656 is an abundant number, since it is smaller than the sum of its proper divisors (151604784).

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

75880656 is a wasteful number, since it uses less digits than its factorization.

75880656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 75880656 is about 8710.9503499905. The cubic root of 75880656 is about 423.3605229125.

The spelling of 75880656 in words is "seventy-five million, eight hundred eighty thousand, six hundred fifty-six".