790508160000 has 2640 divisors, whose sum is σ = 3519508696704. Its totient is φ = 175177728000.

The previous prime is 790508159963. The next prime is 790508160007. The reversal of 790508160000 is 61805097.

790508160000 is a `hidden beast` number, since 7 + 90 + 508 + 1 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790508160007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34369919989 + ... + 34369920011.

Almost surely, 2^790508160000 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 790508160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759754348352).

790508160000 is an abundant number, since it is smaller than the sum of its proper divisors (2729000536704).

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

790508160000 is a wasteful number, since it uses less digits than its factorization.

790508160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 790508160000 its reverse (61805097), we get a palindrome (790569965097).

The spelling of 790508160000 in words is "seven hundred ninety billion, five hundred eight million, one hundred sixty thousand".