78167978680320 has 2016 divisors, whose sum is σ = 299634914112768. Its totient is φ = 18833448370176.

The previous prime is 78167978680283. The next prime is 78167978680321. The reversal of 78167978680320 is 2308687976187.

78167978680320 is a `hidden beast` number, since 7 + 8 + 1 + 67 + 97 + 86 + 80 + 320 = 666.

It is a super-2 number, since 2×78167978680320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (78167978680321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335484886924 + ... + 335484887156.

Almost surely, 2^{78167978680320} 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 78167978680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817457056384).

78167978680320 is an abundant number, since it is smaller than the sum of its proper divisors (221466935432448).

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

78167978680320 is a wasteful number, since it uses less digits than its factorization.

78167978680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 78167978680320 in words is "seventy-eight trillion, one hundred sixty-seven billion, nine hundred seventy-eight million, six hundred eighty thousand, three hundred twenty".