78229462080 has 1344 divisors, whose sum is σ = 336241704960. Its totient is φ = 15046901760.

The previous prime is 78229462067. The next prime is 78229462141. The reversal of 78229462080 is 8026492287.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×78229462080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 878982676 + ... + 878982764.

It is an arithmetic number, because the mean of its divisors is an integer number (250179840).

Almost surely, 2^78229462080 is an apocalyptic number.

78229462080 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 78229462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168120852480).

78229462080 is an abundant number, since it is smaller than the sum of its proper divisors (258012242880).

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

78229462080 is a wasteful number, since it uses less digits than its factorization.

78229462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 78229462080 in words is "seventy-eight billion, two hundred twenty-nine million, four hundred sixty-two thousand, eighty".