78964462080 has 960 divisors, whose sum is σ = 334445379840. Its totient is φ = 16817061888.

The previous prime is 78964462051. The next prime is 78964462081. The reversal of 78964462080 is 8026446987.

78964462080 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 4 + 4 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (78964462081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223695184 + ... + 223695536.

It is an arithmetic number, because the mean of its divisors is an integer number (348380604).

Almost surely, 2^78964462080 is an apocalyptic number.

78964462080 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 78964462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167222689920).

78964462080 is an abundant number, since it is smaller than the sum of its proper divisors (255480917760).

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

78964462080 is a wasteful number, since it uses less digits than its factorization.

78964462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 78964462080 in words is "seventy-eight billion, nine hundred sixty-four million, four hundred sixty-two thousand, eighty".