78780200304960 has 1792 divisors, whose sum is σ = 365078106316800. Its totient is φ = 15493673779200.

The previous prime is 78780200304943. The next prime is 78780200305033. The reversal of 78780200304960 is 6940300208787.

78780200304960 is a `hidden beast` number, since 7 + 8 + 78 + 0 + 200 + 304 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 78780200304897 and 78780200304906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17456279664 + ... + 17456284176.

Almost surely, 2^{78780200304960} is an apocalyptic number.

78780200304960 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 78780200304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182539053158400).

78780200304960 is an abundant number, since it is smaller than the sum of its proper divisors (286297906011840).

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

78780200304960 is a wasteful number, since it uses less digits than its factorization.

78780200304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 78780200304960 in words is "seventy-eight trillion, seven hundred eighty billion, two hundred million, three hundred four thousand, nine hundred sixty".