78024066560 has 320 divisors, whose sum is σ = 214462702080. Its totient is φ = 26947092480.

The previous prime is 78024066551. The next prime is 78024066577. The reversal of 78024066560 is 6566042087.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115934384 + ... + 115935056.

It is an arithmetic number, because the mean of its divisors is an integer number (670195944).

Almost surely, 2^78024066560 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 78024066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107231351040).

78024066560 is an abundant number, since it is smaller than the sum of its proper divisors (136438635520).

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

78024066560 is a wasteful number, since it uses less digits than its factorization.

78024066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 78024066560 in words is "seventy-eight billion, twenty-four million, sixty-six thousand, five hundred sixty".