790984548103680 has 1280 divisors, whose sum is σ = 3286693729566720. Its totient is φ = 176583330201600.

The previous prime is 790984548103667. The next prime is 790984548103697. The reversal of 790984548103680 is 86301845489097.

790984548103680 is a `hidden beast` number, since 7 + 9 + 0 + 9 + 8 + 4 + 548 + 10 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 790984548103599 and 790984548103608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3675624885 + ... + 3675840075.

It is an arithmetic number, because the mean of its divisors is an integer number (2567729476224).

Almost surely, 2^{790984548103680} is an apocalyptic number.

790984548103680 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 790984548103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643346864783360).

790984548103680 is an abundant number, since it is smaller than the sum of its proper divisors (2495709181463040).

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

790984548103680 is a wasteful number, since it uses less digits than its factorization.

790984548103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215408 (or 215386 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 790984548103680 in words is "seven hundred ninety trillion, nine hundred eighty-four billion, five hundred forty-eight million, one hundred three thousand, six hundred eighty".