797225748480 has 1152 divisors, whose sum is σ = 3351096403200. Its totient is φ = 171228266496.

The previous prime is 797225748457. The next prime is 797225748577. The reversal of 797225748480 is 84847522797.

797225748480 is a `hidden beast` number, since 7 + 9 + 7 + 22 + 57 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2365654872 + ... + 2365655208.

It is an arithmetic number, because the mean of its divisors is an integer number (2908937850).

Almost surely, 2^797225748480 is an apocalyptic number.

797225748480 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 797225748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675548201600).

797225748480 is an abundant number, since it is smaller than the sum of its proper divisors (2553870654720).

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

797225748480 is a wasteful number, since it uses less digits than its factorization.

797225748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 797225748480 in words is "seven hundred ninety-seven billion, two hundred twenty-five million, seven hundred forty-eight thousand, four hundred eighty".