76171665920 has 160 divisors (see below), whose sum is σ = 209982060288. Its totient is φ = 25958596608.

The previous prime is 76171665917. The next prime is 76171665953. The reversal of 76171665920 is 2956617167.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979914 + ... + 3005366.

Almost surely, 2^76171665920 is an apocalyptic number.

76171665920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76171665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104991030144).

76171665920 is an abundant number, since it is smaller than the sum of its proper divisors (133810394368).

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

76171665920 is a wasteful number, since it uses less digits than its factorization.

76171665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25650 (or 25634 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 76171665920 in words is "seventy-six billion, one hundred seventy-one million, six hundred sixty-five thousand, nine hundred twenty".