78959991801600 has 3240 divisors, whose sum is σ = 363675498278400. Its totient is φ = 16550353797120.

The previous prime is 78959991801541. The next prime is 78959991801617. The reversal of 78959991801600 is 610819995987.

78959991801600 is a `hidden beast` number, since 7 + 8 + 9 + 5 + 9 + 9 + 9 + 1 + 8 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 122040172477 + ... + 122040173123.

It is an arithmetic number, because the mean of its divisors is an integer number (112245524160).

Almost surely, 2^{78959991801600} is an apocalyptic number.

78959991801600 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 78959991801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181837749139200).

78959991801600 is an abundant number, since it is smaller than the sum of its proper divisors (284715506476800).

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

78959991801600 is a wasteful number, since it uses less digits than its factorization.

78959991801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 72.

The spelling of 78959991801600 in words is "seventy-eight trillion, nine hundred fifty-nine billion, nine hundred ninety-one million, eight hundred one thousand, six hundred".