796821480 has 288 divisors, whose sum is σ = 3206511360. Its totient is φ = 168030720.

The previous prime is 796821469. The next prime is 796821481. The reversal of 796821480 is 84128697.

796821480 is a `hidden beast` number, since 7 + 96 + 82 + 1 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (796821481) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 424945 + ... + 426815.

It is an arithmetic number, because the mean of its divisors is an integer number (11133720).

Almost surely, 2^796821480 is an apocalyptic number.

796821480 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 796821480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603255680).

796821480 is an abundant number, since it is smaller than the sum of its proper divisors (2409689880).

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

796821480 is a wasteful number, since it uses less digits than its factorization.

796821480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 796821480 is about 28228.0264984997. The cubic root of 796821480 is about 927.0866862794.

The spelling of 796821480 in words is "seven hundred ninety-six million, eight hundred twenty-one thousand, four hundred eighty".