75806656 has 56 divisors (see below), whose sum is σ = 163535360. Its totient is φ = 34732800.

The previous prime is 75806623. The next prime is 75806657. The reversal of 75806656 is 65660857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75806657) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36691 + ... + 38701.

Almost surely, 2^75806656 is an apocalyptic number.

75806656 is a gapful number since it is divisible by the number (76) 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 75806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81767680).

75806656 is an abundant number, since it is smaller than the sum of its proper divisors (87728704).

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

75806656 is a wasteful number, since it uses less digits than its factorization.

75806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 75806656 is about 8706.7017865550. The cubic root of 75806656 is about 423.2228555545. Note that the first 3 decimals are identical.

The spelling of 75806656 in words is "seventy-five million, eight hundred six thousand, six hundred fifty-six".