78578760960 has 360 divisors, whose sum is σ = 321339169536. Its totient is φ = 17960693760.

The previous prime is 78578760919. The next prime is 78578760961. The reversal of 78578760960 is 6906787587.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78578760961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671625 + ... + 779895.

Almost surely, 2^78578760960 is an apocalyptic number.

78578760960 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 78578760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160669584768).

78578760960 is an abundant number, since it is smaller than the sum of its proper divisors (242760408576).

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

78578760960 is a wasteful number, since it uses less digits than its factorization.

78578760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108311 (or 108288 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 78578760960 in words is "seventy-eight billion, five hundred seventy-eight million, seven hundred sixty thousand, nine hundred sixty".