78546316800 has 480 divisors, whose sum is σ = 299524972032. Its totient is φ = 17772871680.

The previous prime is 78546316769. The next prime is 78546316801. The reversal of 78546316800 is 861364587.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78546316800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78546316801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27684982 + ... + 27687818.

Almost surely, 2^78546316800 is an apocalyptic number.

78546316800 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 78546316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149762486016).

78546316800 is an abundant number, since it is smaller than the sum of its proper divisors (220978655232).

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

78546316800 is a wasteful number, since it uses less digits than its factorization.

78546316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 78546316800 in words is "seventy-eight billion, five hundred forty-six million, three hundred sixteen thousand, eight hundred".