878780864102400 has 4608 divisors, whose sum is σ = 3876999061178880. Its totient is φ = 193182176378880.

The previous prime is 878780864102389. The next prime is 878780864102411. The reversal of 878780864102400 is 4201468087878.

878780864102400 is a `hidden beast` number, since 8 + 7 + 87 + 80 + 8 + 64 + 10 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (878780864102389) and next prime (878780864102411).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×878780864102400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5391293644719 + ... + 5391293644881.

It is an arithmetic number, because the mean of its divisors is an integer number (841362643485).

Almost surely, 2^{878780864102400} is an apocalyptic number.

878780864102400 is a gapful number since it is divisible by the number (80) 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 878780864102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938499530589440).

878780864102400 is an abundant number, since it is smaller than the sum of its proper divisors (2998218197076480).

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

878780864102400 is an equidigital number, since it uses as much as digits as its factorization.

878780864102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 878780864102400 in words is "eight hundred seventy-eight trillion, seven hundred eighty billion, eight hundred sixty-four million, one hundred two thousand, four hundred".