790782658560 has 576 divisors, whose sum is σ = 2914245734400. Its totient is φ = 197872975872.

The previous prime is 790782658531. The next prime is 790782658571. The reversal of 790782658560 is 65856287097.

790782658560 is a `hidden beast` number, since 7 + 9 + 0 + 7 + 8 + 2 + 65 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112339521 + ... + 112346559.

It is an arithmetic number, because the mean of its divisors is an integer number (5059454400).

Almost surely, 2^790782658560 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 790782658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457122867200).

790782658560 is an abundant number, since it is smaller than the sum of its proper divisors (2123463075840).

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

790782658560 is a wasteful number, since it uses less digits than its factorization.

790782658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 790782658560 in words is "seven hundred ninety billion, seven hundred eighty-two million, six hundred fifty-eight thousand, five hundred sixty".