19800076800 has 720 divisors, whose sum is σ = 80693094240. Its totient is φ = 4252631040.

The previous prime is 19800076789. The next prime is 19800076811. The reversal of 19800076800 is 867000891.

It is an interprime number because it is at equal distance from previous prime (19800076789) and next prime (19800076811).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31986891 + ... + 31987509.

It is an arithmetic number, because the mean of its divisors is an integer number (112073742).

Almost surely, 2^19800076800 is an apocalyptic number.

19800076800 is a gapful number since it is divisible by the number (10) 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 19800076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40346547120).

19800076800 is an abundant number, since it is smaller than the sum of its proper divisors (60893017440).

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

19800076800 is a wasteful number, since it uses less digits than its factorization.

19800076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 19800076800 in words is "nineteen billion, eight hundred million, seventy-six thousand, eight hundred".