828080640 has 240 divisors, whose sum is σ = 2900671488. Its totient is φ = 218308608.

The previous prime is 828080633. The next prime is 828080641. The reversal of 828080640 is 46080828.

828080640 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 828080595 and 828080604.

It is not an unprimeable number, because it can be changed into a prime (828080641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925939 + ... + 2926221.

Almost surely, 2^828080640 is an apocalyptic number.

828080640 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 828080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450335744).

828080640 is an abundant number, since it is smaller than the sum of its proper divisors (2072590848).

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

828080640 is a wasteful number, since it uses less digits than its factorization.

828080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828080640 is about 28776.3903226239. The cubic root of 828080640 is about 939.0546705742.

The spelling of 828080640 in words is "eight hundred twenty-eight million, eighty thousand, six hundred forty".