76353664 has 32 divisors (see below), whose sum is σ = 161063100. Its totient is φ = 35930112.

The previous prime is 76353649. The next prime is 76353679. The reversal of 76353664 is 46635367.

It is an interprime number because it is at equal distance from previous prime (76353649) and next prime (76353679).

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 7795264 = 8280^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15369 + ... + 19720.

Almost surely, 2^76353664 is an apocalyptic number.

It is an amenable number.

76353664 is an abundant number, since it is smaller than the sum of its proper divisors (84709436).

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

76353664 is a wasteful number, since it uses less digits than its factorization.

76353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35120 (or 35108 counting only the distinct ones).

The product of its digits is 272160, while the sum is 40.

The square root of 76353664 is about 8738.0583655638. The cubic root of 76353664 is about 424.2383849939.

The spelling of 76353664 in words is "seventy-six million, three hundred fifty-three thousand, six hundred sixty-four".