797625204480 has 2304 divisors, whose sum is σ = 3426777446400. Its totient is φ = 173903708160.

The previous prime is 797625204473. The next prime is 797625204529. The reversal of 797625204480 is 84402526797.

797625204480 is a `hidden beast` number, since 7 + 9 + 7 + 625 + 2 + 0 + 4 + 4 + 8 + 0 = 666.

797625204480 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 (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15049532134 + ... + 15049532186.

It is an arithmetic number, because the mean of its divisors is an integer number (1487316600).

Almost surely, 2^797625204480 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 797625204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713388723200).

797625204480 is an abundant number, since it is smaller than the sum of its proper divisors (2629152241920).

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

797625204480 is a wasteful number, since it uses less digits than its factorization.

797625204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 797625204480 in words is "seven hundred ninety-seven billion, six hundred twenty-five million, two hundred four thousand, four hundred eighty".