788472597600 has 864 divisors, whose sum is σ = 2937974457600. Its totient is φ = 206324029440.

The previous prime is 788472597559. The next prime is 788472597617. The reversal of 788472597600 is 6795274887.

788472597600 is a `hidden beast` number, since 78 + 8 + 472 + 5 + 97 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4721392717 + ... + 4721392883.

It is an arithmetic number, because the mean of its divisors is an integer number (3400433400).

Almost surely, 2^788472597600 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 788472597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468987228800).

788472597600 is an abundant number, since it is smaller than the sum of its proper divisors (2149501860000).

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

788472597600 is a wasteful number, since it uses less digits than its factorization.

788472597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 788472597600 in words is "seven hundred eighty-eight billion, four hundred seventy-two million, five hundred ninety-seven thousand, six hundred".