75769668 has 60 divisors (see below), whose sum is σ = 213325420. Its totient is φ = 23312448.

The previous prime is 75769637. The next prime is 75769691. The reversal of 75769668 is 86696757.

It is a happy number.

75769668 is a `hidden beast` number, since 7 + 576 + 9 + 6 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 41757444 = 5832^2 + 6462^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4783 + ... + 13206.

Almost surely, 2^75769668 is an apocalyptic number.

75769668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

75769668 is an abundant number, since it is smaller than the sum of its proper divisors (137555752).

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

75769668 is a wasteful number, since it uses less digits than its factorization.

75769668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018 (or 18007 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 75769668 is about 8704.5774165091. The cubic root of 75769668 is about 423.1540106161.

It can be divided in two parts, 7 and 5769668, that added together give a palindrome (5769675).

The spelling of 75769668 in words is "seventy-five million, seven hundred sixty-nine thousand, six hundred sixty-eight".