76002968 has 16 divisors (see below), whose sum is σ = 147420000. Its totient is φ = 36690976.

The previous prime is 76002967. The next prime is 76003019. The reversal of 76002968 is 86920067.

It is a super-2 number, since 2×76002968² = 11552902289618048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76002967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163568 + ... + 164031.

It is an arithmetic number, because the mean of its divisors is an integer number (9213750).

Almost surely, 2^76002968 is an apocalyptic number.

It is an amenable number.

76002968 is a deficient number, since it is larger than the sum of its proper divisors (71417032).

76002968 is a wasteful number, since it uses less digits than its factorization.

76002968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327634 (or 327630 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 76002968 is about 8717.9681118940. The cubic root of 76002968 is about 423.5878723556.

The spelling of 76002968 in words is "seventy-six million, two thousand, nine hundred sixty-eight".