790730145000 has 480 divisors, whose sum is σ = 2774272729800. Its totient is φ = 203233536000.

The previous prime is 790730144959. The next prime is 790730145017. The reversal of 790730145000 is 541037097.

It is a happy number.

790730145000 is a `hidden beast` number, since 79 + 0 + 73 + 0 + 14 + 500 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 704265444 + 790025879556 = 26538^2 + 888834^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 181482822 + ... + 181487178.

Almost surely, 2^790730145000 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 790730145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387136364900).

790730145000 is an abundant number, since it is smaller than the sum of its proper divisors (1983542584800).

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

790730145000 is a wasteful number, since it uses less digits than its factorization.

790730145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 790730145000 in words is "seven hundred ninety billion, seven hundred thirty million, one hundred forty-five thousand".