76008961 has 8 divisors (see below), whose sum is σ = 87018624. Its totient is φ = 65037120.

The previous prime is 76008929. The next prime is 76008967. The reversal of 76008961 is 16980067.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76008961 - 2⁵ = 76008929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76008961.

It is not an unprimeable number, because it can be changed into a prime (76008967) 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, 5005 + ... + 13306.

It is an arithmetic number, because the mean of its divisors is an integer number (10877328).

Almost surely, 2^76008961 is an apocalyptic number.

It is an amenable number.

76008961 is a deficient number, since it is larger than the sum of its proper divisors (11009663).

76008961 is a wasteful number, since it uses less digits than its factorization.

76008961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18911.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 76008961 is about 8718.3118205304. The cubic root of 76008961 is about 423.5990056726.

It can be divided in two parts, 7600 and 8961, that added together give a palindrome (16561).

The spelling of 76008961 in words is "seventy-six million, eight thousand, nine hundred sixty-one".