971809080 has 384 divisors, whose sum is σ = 3530096640. Its totient is φ = 212889600.

The previous prime is 971809057. The next prime is 971809081. The reversal of 971809080 is 80908179.

971809080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971809081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7651977 + ... + 7652103.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2^971809080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971809080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

971809080 is an abundant number, since it is smaller than the sum of its proper divisors (2558287560).

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

971809080 is a wasteful number, since it uses less digits than its factorization.

971809080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 971809080 is about 31173.8525049439. The cubic root of 971809080 is about 990.5133140481.

The spelling of 971809080 in words is "nine hundred seventy-one million, eight hundred nine thousand, eighty".