78380219800 has 96 divisors (see below), whose sum is σ = 189255074400. Its totient is φ = 30152622080.

The previous prime is 78380219779. The next prime is 78380219821. The reversal of 78380219800 is 891208387.

It is an interprime number because it is at equal distance from previous prime (78380219779) and next prime (78380219821).

It is a super-2 number, since 2×78380219800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464309 + ... + 1516891.

It is an arithmetic number, because the mean of its divisors is an integer number (1971407025).

Almost surely, 2^78380219800 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 78380219800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94627537200).

78380219800 is an abundant number, since it is smaller than the sum of its proper divisors (110874854600).

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

78380219800 is a wasteful number, since it uses less digits than its factorization.

78380219800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52885 (or 52876 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 78380219800 in words is "seventy-eight billion, three hundred eighty million, two hundred nineteen thousand, eight hundred".