78361088300 has 216 divisors, whose sum is σ = 193228320096. Its totient is φ = 27547520000.

The previous prime is 78361088291. The next prime is 78361088359. The reversal of 78361088300 is 388016387.

It is a super-2 number, since 2×78361088300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45531440 + ... + 45533160.

It is an arithmetic number, because the mean of its divisors is an integer number (894575556).

Almost surely, 2^78361088300 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 78361088300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96614160048).

78361088300 is an abundant number, since it is smaller than the sum of its proper divisors (114867231796).

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

78361088300 is a wasteful number, since it uses less digits than its factorization.

78361088300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 78361088300 in words is "seventy-eight billion, three hundred sixty-one million, eighty-eight thousand, three hundred".