798984960 has 288 divisors, whose sum is σ = 2754984960. Its totient is φ = 196706304.

The previous prime is 798984931. The next prime is 798984961. The reversal of 798984960 is 69489897.

798984960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 798984894 and 798984903.

It is not an unprimeable number, because it can be changed into a prime (798984961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3429004 + ... + 3429236.

It is an arithmetic number, because the mean of its divisors is an integer number (9565920).

Almost surely, 2^798984960 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 798984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).

798984960 is an abundant number, since it is smaller than the sum of its proper divisors (1956000000).

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

798984960 is a wasteful number, since it uses less digits than its factorization.

798984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 798984960 is about 28266.3220104774. The cubic root of 798984960 is about 927.9249840273.

The spelling of 798984960 in words is "seven hundred ninety-eight million, nine hundred eighty-four thousand, nine hundred sixty".