83784780800000 has 336 divisors, whose sum is σ = 239355669319200. Its totient is φ = 28726149120000.

The previous prime is 83784780799987. The next prime is 83784780800009. The reversal of 83784780800000 is 808748738.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83784780800009) 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, 178966226 + ... + 179433774.

It is an arithmetic number, because the mean of its divisors is an integer number (712368063450).

Almost surely, 2^{83784780800000} is an apocalyptic number.

83784780800000 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 83784780800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119677834659600).

83784780800000 is an abundant number, since it is smaller than the sum of its proper divisors (155570888519200).

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

83784780800000 is an frugal number, since it uses more digits than its factorization.

83784780800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467607 (or 467563 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 83784780800000 in words is "eighty-three trillion, seven hundred eighty-four billion, seven hundred eighty million, eight hundred thousand".