76820000000000 has 528 divisors, whose sum is σ = 201550777122240. Its totient is φ = 29216000000000.

The previous prime is 76819999999961. The next prime is 76820000000099. The reversal of 76820000000000 is 2867.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 76819999999894 and 76819999999903.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 459999999917 + ... + 460000000083.

Almost surely, 2^{76820000000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76820000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100775388561120).

76820000000000 is an abundant number, since it is smaller than the sum of its proper divisors (124730777122240).

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

76820000000000 is an frugal number, since it uses more digits than its factorization.

76820000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 76820000000000 its reverse (2867), we get a palindrome (76820000002867).

The spelling of 76820000000000 in words is "seventy-six trillion, eight hundred twenty billion", and thus it is an aban number.