78379871755392 has 192 divisors, whose sum is σ = 235361725522560. Its totient is φ = 24989715210240.

The previous prime is 78379871755391. The next prime is 78379871755397. The reversal of 78379871755392 is 29355717897387.

78379871755392 is a `hidden beast` number, since 7 + 8 + 3 + 7 + 9 + 8 + 7 + 1 + 75 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78379871755392² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78379871755391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039055917 + ... + 1039131347.

It is an arithmetic number, because the mean of its divisors is an integer number (1225842320430).

Almost surely, 2^{78379871755392} is an apocalyptic number.

78379871755392 is a gapful number since it is divisible by the number (72) 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 78379871755392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117680862761280).

78379871755392 is an abundant number, since it is smaller than the sum of its proper divisors (156981853767168).

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

78379871755392 is a wasteful number, since it uses less digits than its factorization.

78379871755392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114691 (or 114676 counting only the distinct ones).

The product of its digits is 5601052800, while the sum is 81.

The spelling of 78379871755392 in words is "seventy-eight trillion, three hundred seventy-nine billion, eight hundred seventy-one million, seven hundred fifty-five thousand, three hundred ninety-two".