828007680 has 144 divisors (see below), whose sum is σ = 2682578304. Its totient is φ = 217620480.

The previous prime is 828007667. The next prime is 828007703. The reversal of 828007680 is 86700828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271122 + ... + 274158.

It is an arithmetic number, because the mean of its divisors is an integer number (18629016).

Almost surely, 2^828007680 is an apocalyptic number.

828007680 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 828007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341289152).

828007680 is an abundant number, since it is smaller than the sum of its proper divisors (1854570624).

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

828007680 is a wasteful number, since it uses less digits than its factorization.

828007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 828007680 is about 28775.1225887919. The cubic root of 828007680 is about 939.0270905546.

The spelling of 828007680 in words is "eight hundred twenty-eight million, seven thousand, six hundred eighty".