790560065610000 has 1125 divisors, whose sum is σ = 3326779742235411. Its totient is φ = 180658955232000.

The previous prime is 790560065609957. The next prime is 790560065610059. The reversal of 790560065610000 is 16560065097.

The square root of 790560065610000 is 28116900.

It is a perfect power (a square), and thus also a powerful number.

790560065610000 is a `hidden beast` number, since 79 + 0 + 560 + 0 + 6 + 5 + 6 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61979909143824 + 728580156466176 = 7872732^2 + 26992224^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 177136467769 + ... + 177136472231.

Almost surely, 2^{790560065610000} is an apocalyptic number.

790560065610000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

790560065610000 is the 28116900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790560065610000

790560065610000 is an abundant number, since it is smaller than the sum of its proper divisors (2536219676625411).

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

790560065610000 is an frugal number, since it uses more digits than its factorization.

790560065610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 790560065610000 in words is "seven hundred ninety trillion, five hundred sixty billion, sixty-five million, six hundred ten thousand".