790350869145600 has 8640 divisors, whose sum is σ = 3903365956089600. Its totient is φ = 157024643973120.

The previous prime is 790350869145589. The next prime is 790350869145619. The reversal of 790350869145600 is 6541968053097.

790350869145600 is a `hidden beast` number, since 7 + 9 + 0 + 3 + 5 + 0 + 8 + 6 + 9 + 14 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 27253478246386 + ... + 27253478246414.

It is an arithmetic number, because the mean of its divisors is an integer number (451778467140).

Almost surely, 2^{790350869145600} is an apocalyptic number.

790350869145600 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 790350869145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951682978044800).

790350869145600 is an abundant number, since it is smaller than the sum of its proper divisors (3113015086944000).

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

790350869145600 is an equidigital number, since it uses as much as digits as its factorization.

790350869145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 790350869145600 in words is "seven hundred ninety trillion, three hundred fifty billion, eight hundred sixty-nine million, one hundred forty-five thousand, six hundred".