76917680 has 40 divisors (see below), whose sum is σ = 204382752. Its totient is φ = 26371584.

The previous prime is 76917653. The next prime is 76917683. The reversal of 76917680 is 8671967.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (76917683) 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 7 ways as a sum of consecutive naturals, for example, 68117 + ... + 69236.

Almost surely, 2^76917680 is an apocalyptic number.

76917680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76917680 is an abundant number, since it is smaller than the sum of its proper divisors (127465072).

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

76917680 is a wasteful number, since it uses less digits than its factorization.

76917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137373 (or 137367 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 76917680 is about 8770.2725157204. The cubic root of 76917680 is about 425.2804239262.

The spelling of 76917680 in words is "seventy-six million, nine hundred seventeen thousand, six hundred eighty".