897768748800 has 3456 divisors, whose sum is σ = 4489212672000. Its totient is φ = 175575859200.

The previous prime is 897768748771. The next prime is 897768748829. The reversal of 897768748800 is 8847867798.

It is a happy number.

897768748800 is a `hidden beast` number, since 89 + 7 + 7 + 68 + 7 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (897768748771) and next prime (897768748829).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52809926392 + ... + 52809926408.

It is an arithmetic number, because the mean of its divisors is an integer number (1298962000).

Almost surely, 2^897768748800 is an apocalyptic number.

897768748800 is a gapful number since it is divisible by the number (80) 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 897768748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244606336000).

897768748800 is an abundant number, since it is smaller than the sum of its proper divisors (3591443923200).

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

897768748800 is an equidigital number, since it uses as much as digits as its factorization.

897768748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 897768748800 in words is "eight hundred ninety-seven billion, seven hundred sixty-eight million, seven hundred forty-eight thousand, eight hundred".