78846566400 has 1260 divisors, whose sum is σ = 343274407938. Its totient is φ = 17836277760.

The previous prime is 78846566387. The next prime is 78846566417. The reversal of 78846566400 is 466564887.

78846566400 is a `hidden beast` number, since 7 + 88 + 465 + 66 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56590700544 + 22255865856 = 237888^2 + 149184^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 812851152 + ... + 812851248.

Almost surely, 2^78846566400 is an apocalyptic number.

78846566400 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 78846566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171637203969).

78846566400 is an abundant number, since it is smaller than the sum of its proper divisors (264427841538).

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

78846566400 is an equidigital number, since it uses as much as digits as its factorization.

78846566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 78846566400 in words is "seventy-eight billion, eight hundred forty-six million, five hundred sixty-six thousand, four hundred".