797829480 has 128 divisors (see below), whose sum is σ = 3039379200. Its totient is φ = 182359296.

The previous prime is 797829479. The next prime is 797829481. The reversal of 797829480 is 84928797.

797829480 is a `hidden beast` number, since 79 + 78 + 29 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (797829479) and next prime (797829481).

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

It is not an unprimeable number, because it can be changed into a prime (797829481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45207 + ... + 60326.

It is an arithmetic number, because the mean of its divisors is an integer number (23745150).

Almost surely, 2^797829480 is an apocalyptic number.

797829480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

797829480 is an abundant number, since it is smaller than the sum of its proper divisors (2241549720).

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

797829480 is a wasteful number, since it uses less digits than its factorization.

797829480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105560 (or 105550 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 797829480 is about 28245.8754511168. The cubic root of 797829480 is about 927.4774511801.

The spelling of 797829480 in words is "seven hundred ninety-seven million, eight hundred twenty-nine thousand, four hundred eighty".