829786480 has 80 divisors (see below), whose sum is σ = 1993131360. Its totient is φ = 321076224.

The previous prime is 829786471. The next prime is 829786481. The reversal of 829786480 is 84687928.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829786481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373854 + ... + 376066.

It is an arithmetic number, because the mean of its divisors is an integer number (24914142).

Almost surely, 2^829786480 is an apocalyptic number.

829786480 is a gapful number since it is divisible by the number (80) 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 829786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996565680).

829786480 is an abundant number, since it is smaller than the sum of its proper divisors (1163344880).

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

829786480 is a wasteful number, since it uses less digits than its factorization.

829786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 829786480 is about 28806.0146497220. The cubic root of 829786480 is about 939.6990435364.

The spelling of 829786480 in words is "eight hundred twenty-nine million, seven hundred eighty-six thousand, four hundred eighty".