828717680 has 160 divisors (see below), whose sum is σ = 2352706560. Its totient is φ = 265144320.

The previous prime is 828717671. The next prime is 828717691. The reversal of 828717680 is 86717828.

It is a happy number.

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, 754892 + ... + 755988.

It is an arithmetic number, because the mean of its divisors is an integer number (14704416).

Almost surely, 2^828717680 is an apocalyptic number.

828717680 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 828717680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176353280).

828717680 is an abundant number, since it is smaller than the sum of its proper divisors (1523988880).

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

828717680 is a wasteful number, since it uses less digits than its factorization.

828717680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 47.

The square root of 828717680 is about 28787.4569908493. The cubic root of 828717680 is about 939.2954128491.

The spelling of 828717680 in words is "eight hundred twenty-eight million, seven hundred seventeen thousand, six hundred eighty".