78317954660400 has 480 divisors, whose sum is σ = 315954355960320. Its totient is φ = 16139942461440.

The previous prime is 78317954660399. The next prime is 78317954660437. The reversal of 78317954660400 is 406645971387.

It is a super-2 number, since 2×78317954660400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3643905 + ... + 13035104.

It is an arithmetic number, because the mean of its divisors is an integer number (658238241584).

Almost surely, 2^{78317954660400} is an apocalyptic number.

78317954660400 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 78317954660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157977177980160).

78317954660400 is an abundant number, since it is smaller than the sum of its proper divisors (237636401299920).

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

78317954660400 is a wasteful number, since it uses less digits than its factorization.

78317954660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679093 (or 16679082 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 78317954660400 in words is "seventy-eight trillion, three hundred seventeen billion, nine hundred fifty-four million, six hundred sixty thousand, four hundred".