78140160000 has 1920 divisors, whose sum is σ = 368432064000. Its totient is φ = 15925248000.

The previous prime is 78140159959. The next prime is 78140160011. The reversal of 78140160000 is 6104187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×78140160000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4112639991 + ... + 4112640009.

It is an arithmetic number, because the mean of its divisors is an integer number (191891700).

Almost surely, 2^78140160000 is an apocalyptic number.

78140160000 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 78140160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184216032000).

78140160000 is an abundant number, since it is smaller than the sum of its proper divisors (290291904000).

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

78140160000 is a wasteful number, since it uses less digits than its factorization.

78140160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 78140160000 its reverse (6104187), we get a palindrome (78146264187).

The spelling of 78140160000 in words is "seventy-eight billion, one hundred forty million, one hundred sixty thousand".