78381703680 has 320 divisors, whose sum is σ = 298828873728. Its totient is φ = 17136599040.

The previous prime is 78381703679. The next prime is 78381703693. The reversal of 78381703680 is 8630718387.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×78381703680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204785 + ... + 1268175.

Almost surely, 2^78381703680 is an apocalyptic number.

78381703680 is a gapful number since it is divisible by the number (70) 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 78381703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149414436864).

78381703680 is an abundant number, since it is smaller than the sum of its proper divisors (220447170048).

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

78381703680 is a wasteful number, since it uses less digits than its factorization.

78381703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63447 (or 63431 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 78381703680 in words is "seventy-eight billion, three hundred eighty-one million, seven hundred three thousand, six hundred eighty".