78317883840 has 336 divisors, whose sum is σ = 294169795200. Its totient is φ = 17597196288.

The previous prime is 78317883829. The next prime is 78317883859. The reversal of 78317883840 is 4838871387.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×78317883840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2761251 + ... + 2789469.

Almost surely, 2^78317883840 is an apocalyptic number.

78317883840 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 78317883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147084897600).

78317883840 is an abundant number, since it is smaller than the sum of its proper divisors (215851911360).

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

78317883840 is a wasteful number, since it uses less digits than its factorization.

78317883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28312 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 78317883840 in words is "seventy-eight billion, three hundred seventeen million, eight hundred eighty-three thousand, eight hundred forty".