796982760 has 256 divisors, whose sum is σ = 3102105600. Its totient is φ = 178212096.

The previous prime is 796982743. The next prime is 796982779. The reversal of 796982760 is 67289697.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 796982697 and 796982706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354199 + ... + 356441.

It is an arithmetic number, because the mean of its divisors is an integer number (12117600).

Almost surely, 2^796982760 is an apocalyptic number.

796982760 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 796982760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551052800).

796982760 is an abundant number, since it is smaller than the sum of its proper divisors (2305122840).

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

796982760 is a wasteful number, since it uses less digits than its factorization.

796982760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 796982760 is about 28230.8830892695. The cubic root of 796982760 is about 927.1492308007.

The spelling of 796982760 in words is "seven hundred ninety-six million, nine hundred eighty-two thousand, seven hundred sixty".