78110460000 has 480 divisors, whose sum is σ = 288447667200. Its totient is φ = 20554560000.

The previous prime is 78110459989. The next prime is 78110460019. The reversal of 78110460000 is 6401187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×78110460000² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42659085 + ... + 42660915.

It is an arithmetic number, because the mean of its divisors is an integer number (600932640).

Almost surely, 2^78110460000 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 78110460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144223833600).

78110460000 is an abundant number, since it is smaller than the sum of its proper divisors (210337207200).

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

78110460000 is a wasteful number, since it uses less digits than its factorization.

78110460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1920 counting only the distinct ones).

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

Adding to 78110460000 its reverse (6401187), we get a palindrome (78116861187).

The spelling of 78110460000 in words is "seventy-eight billion, one hundred ten million, four hundred sixty thousand".