820976083200 has 1296 divisors, whose sum is σ = 3746965762176. Its totient is φ = 173187072000.

The previous prime is 820976083189. The next prime is 820976083247. The reversal of 820976083200 is 2380679028.

820976083200 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 7 + 608 + 32 + 0 + 0 = 666.

820976083200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141520300 + ... + 141526100.

Almost surely, 2^820976083200 is an apocalyptic number.

820976083200 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 820976083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873482881088).

820976083200 is an abundant number, since it is smaller than the sum of its proper divisors (2925989678976).

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

820976083200 is a wasteful number, since it uses less digits than its factorization.

820976083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 820976083200 in words is "eight hundred twenty billion, nine hundred seventy-six million, eighty-three thousand, two hundred".