18078076800 has 768 divisors, whose sum is σ = 76859366400. Its totient is φ = 4064256000.

The previous prime is 18078076733. The next prime is 18078076801. The reversal of 18078076800 is 867087081.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18078076801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42940590 + ... + 42941010.

It is an arithmetic number, because the mean of its divisors is an integer number (100077300).

Almost surely, 2^18078076800 is an apocalyptic number.

18078076800 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 18078076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38429683200).

18078076800 is an abundant number, since it is smaller than the sum of its proper divisors (58781289600).

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

18078076800 is a wasteful number, since it uses less digits than its factorization.

18078076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 18078076800 in words is "eighteen billion, seventy-eight million, seventy-six thousand, eight hundred".