78413374771200 has 1560 divisors, whose sum is σ = 349432754425920. Its totient is φ = 16979499417600.

The previous prime is 78413374771129. The next prime is 78413374771271. The reversal of 78413374771200 is 217747331487.

78413374771200 is a `hidden beast` number, since 7 + 8 + 4 + 13 + 37 + 477 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78413374771129) and next prime (78413374771271).

It is a super-2 number, since 2×78413374771200² (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 119 ways as a sum of consecutive naturals, for example, 1103119660 + ... + 1103190740.

Almost surely, 2^{78413374771200} is an apocalyptic number.

78413374771200 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 78413374771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174716377212960).

78413374771200 is an abundant number, since it is smaller than the sum of its proper divisors (271019379654720).

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

78413374771200 is a wasteful number, since it uses less digits than its factorization.

78413374771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71153 (or 71117 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 78413374771200 in words is "seventy-eight trillion, four hundred thirteen billion, three hundred seventy-four million, seven hundred seventy-one thousand, two hundred".