796982753280 has 384 divisors, whose sum is σ = 2923032752640. Its totient is φ = 181600911360.

The previous prime is 796982753269. The next prime is 796982753291. The reversal of 796982753280 is 82357289697.

796982753280 = T₆₉₂₂₉ + T₆₉₂₃₀ + ... + T₆₉₅₅₉.

It is an interprime number because it is at equal distance from previous prime (796982753269) and next prime (796982753291).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71172642 + ... + 71183838.

It is an arithmetic number, because the mean of its divisors is an integer number (7612064460).

Almost surely, 2^796982753280 is an apocalyptic number.

796982753280 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 796982753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461516376320).

796982753280 is an abundant number, since it is smaller than the sum of its proper divisors (2126049999360).

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

796982753280 is a wasteful number, since it uses less digits than its factorization.

796982753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 796982753280 in words is "seven hundred ninety-six billion, nine hundred eighty-two million, seven hundred fifty-three thousand, two hundred eighty".