78304295116800 has 1176 divisors, whose sum is σ = 294196868486976. Its totient is φ = 20662053765120.

The previous prime is 78304295116759. The next prime is 78304295116819. The reversal of 78304295116800 is 861159240387.

78304295116800 is a `hidden beast` number, since 7 + 8 + 3 + 0 + 42 + 9 + 511 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×78304295116800² (a number of 29 digits) contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 14482019697 + ... + 14482025103.

It is an arithmetic number, because the mean of its divisors is an integer number (250167405176).

It is a 1-persistent number, because it is pandigital, but 2⋅78304295116800 = 156608590233600 is not.

Almost surely, 2^{78304295116800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78304295116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147098434243488).

78304295116800 is an abundant number, since it is smaller than the sum of its proper divisors (215892573370176).

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

78304295116800 is an frugal number, since it uses more digits than its factorization.

78304295116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 78304295116800 in words is "seventy-eight trillion, three hundred four billion, two hundred ninety-five million, one hundred sixteen thousand, eight hundred".