78119678000 has 960 divisors, whose sum is σ = 260015857920. Its totient is φ = 22063104000.

The previous prime is 78119677991. The next prime is 78119678069. The reversal of 78119678000 is 87691187.

It is a super-2 number, since 2×78119678000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1905357980 + ... + 1905358020.

It is an arithmetic number, because the mean of its divisors is an integer number (270849852).

Almost surely, 2^78119678000 is an apocalyptic number.

78119678000 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 78119678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130007928960).

78119678000 is an abundant number, since it is smaller than the sum of its proper divisors (181896179920).

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

78119678000 is a wasteful number, since it uses less digits than its factorization.

78119678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 47.

The spelling of 78119678000 in words is "seventy-eight billion, one hundred nineteen million, six hundred seventy-eight thousand".