793127986560 has 2304 divisors, whose sum is σ = 3738225254400. Its totient is φ = 153001820160.

The previous prime is 793127986549. The next prime is 793127986583. The reversal of 793127986560 is 65689721397.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2161111497 + ... + 2161111863.

It is an arithmetic number, because the mean of its divisors is an integer number (1622493600).

Almost surely, 2^793127986560 is an apocalyptic number.

793127986560 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 793127986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869112627200).

793127986560 is an abundant number, since it is smaller than the sum of its proper divisors (2945097267840).

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

793127986560 is a wasteful number, since it uses less digits than its factorization.

793127986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 793127986560 in words is "seven hundred ninety-three billion, one hundred twenty-seven million, nine hundred eighty-six thousand, five hundred sixty".