75956868 has 72 divisors (see below), whose sum is σ = 208808600. Its totient is φ = 23141376.

The previous prime is 75956849. The next prime is 75956873. The reversal of 75956868 is 86865957.

75956868 is a `hidden beast` number, since 75 + 9 + 568 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 74338884 = 1272^2 + 8622^2 .

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, 50268 + ... + 51756.

Almost surely, 2^75956868 is an apocalyptic number.

75956868 is a gapful number since it is divisible by the number (78) 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 75956868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104404300).

75956868 is an abundant number, since it is smaller than the sum of its proper divisors (132851732).

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

75956868 is a wasteful number, since it uses less digits than its factorization.

75956868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1616 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 75956868 is about 8715.3237461382. The cubic root of 75956868 is about 423.5022118834.

The spelling of 75956868 in words is "seventy-five million, nine hundred fifty-six thousand, eight hundred sixty-eight".