820678950000 has 1440 divisors, whose sum is σ = 3614174928000. Its totient is φ = 172730880000.

The previous prime is 820678949953. The next prime is 820678950041. The reversal of 820678950000 is 59876028.

820678950000 is a `hidden beast` number, since 8 + 2 + 0 + 67 + 89 + 500 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2006549796 + ... + 2006550204.

It is an arithmetic number, because the mean of its divisors is an integer number (2509843700).

Almost surely, 2^820678950000 is an apocalyptic number.

820678950000 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 820678950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807087464000).

820678950000 is an abundant number, since it is smaller than the sum of its proper divisors (2793495978000).

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

820678950000 is a wasteful number, since it uses less digits than its factorization.

820678950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 820678950000 in words is "eight hundred twenty billion, six hundred seventy-eight million, nine hundred fifty thousand".