971740800 has 480 divisors, whose sum is σ = 3764803680. Its totient is φ = 246343680.

The previous prime is 971740793. The next prime is 971740811. The reversal of 971740800 is 8047179.

971740800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5961519 + ... + 5961681.

It is an arithmetic number, because the mean of its divisors is an integer number (7843341).

Almost surely, 2^971740800 is an apocalyptic number.

971740800 is a gapful number since it is divisible by the number (90) 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 971740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882401840).

971740800 is an abundant number, since it is smaller than the sum of its proper divisors (2793062880).

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

971740800 is a wasteful number, since it uses less digits than its factorization.

971740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 971740800 is about 31172.7573371365. The cubic root of 971740800 is about 990.4901154471.

Adding to 971740800 its reverse (8047179), we get a palindrome (979787979).

The spelling of 971740800 in words is "nine hundred seventy-one million, seven hundred forty thousand, eight hundred".