829690480 has 80 divisors (see below), whose sum is σ = 2061118080. Its totient is φ = 309678336.

The previous prime is 829690471. The next prime is 829690513. The reversal of 829690480 is 84096928.

829690480 is a nontrivial binomial coefficient, being equal to C(40736, 2).

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

It is a self number, because there is not a number n which added to its sum of digits gives 829690480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97767 + ... + 105913.

It is an arithmetic number, because the mean of its divisors is an integer number (25763976).

Almost surely, 2^829690480 is an apocalyptic number.

829690480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

829690480 is the 40735-th triangular number and also the 20368-th hexagonal number.

829690480 is the 13579-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030559040).

829690480 is an abundant number, since it is smaller than the sum of its proper divisors (1231427600).

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

829690480 is a wasteful number, since it uses less digits than its factorization.

829690480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 829690480 is about 28804.3482828548. The cubic root of 829690480 is about 939.6628034556.

The spelling of 829690480 in words is "eight hundred twenty-nine million, six hundred ninety thousand, four hundred eighty".