78701165146800 has 720 divisors, whose sum is σ = 334133497198592. Its totient is φ = 17408547993600.

The previous prime is 78701165146771. The next prime is 78701165146837. The reversal of 78701165146800 is 864156110787.

78701165146800 is a `hidden beast` number, since 7 + 8 + 7 + 0 + 116 + 514 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19226772 + ... + 22958028.

Almost surely, 2^{78701165146800} is an apocalyptic number.

78701165146800 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 78701165146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167066748599296).

78701165146800 is an abundant number, since it is smaller than the sum of its proper divisors (255432332051792).

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

78701165146800 is a wasteful number, since it uses less digits than its factorization.

78701165146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731328 (or 3731305 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 78701165146800 in words is "seventy-eight trillion, seven hundred one billion, one hundred sixty-five million, one hundred forty-six thousand, eight hundred".