828787680 has 192 divisors, whose sum is σ = 3315271680. Its totient is φ = 189430272.

The previous prime is 828787667. The next prime is 828787699. The reversal of 828787680 is 86787828.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16537 + ... + 43943.

It is an arithmetic number, because the mean of its divisors is an integer number (17267040).

Almost surely, 2^828787680 is an apocalyptic number.

828787680 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 828787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657635840).

828787680 is an abundant number, since it is smaller than the sum of its proper divisors (2486484000).

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

828787680 is a wasteful number, since it uses less digits than its factorization.

828787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27438 (or 27424 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 828787680 is about 28788.6727724638. The cubic root of 828787680 is about 939.3218588589.

The spelling of 828787680 in words is "eight hundred twenty-eight million, seven hundred eighty-seven thousand, six hundred eighty".