816076800000 has 2160 divisors, whose sum is σ = 3833493640704. Its totient is φ = 162201600000.

The previous prime is 816076799981. The next prime is 816076800001. The reversal of 816076800000 is 8670618.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816076800001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35481599989 + ... + 35481600011.

Almost surely, 2^816076800000 is an apocalyptic number.

816076800000 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 816076800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916746820352).

816076800000 is an abundant number, since it is smaller than the sum of its proper divisors (3017416840704).

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

816076800000 is an equidigital number, since it uses as much as digits as its factorization.

816076800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 816076800000 in words is "eight hundred sixteen billion, seventy-six million, eight hundred thousand".