78880210560 has 384 divisors, whose sum is σ = 283320797760. Its totient is φ = 20971560960.

The previous prime is 78880210529. The next prime is 78880210583. The reversal of 78880210560 is 6501208887.

78880210560 is a `hidden beast` number, since 7 + 8 + 8 + 80 + 2 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76359804 + ... + 76360836.

Almost surely, 2^78880210560 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 78880210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141660398880).

78880210560 is an abundant number, since it is smaller than the sum of its proper divisors (204440587200).

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

78880210560 is a wasteful number, since it uses less digits than its factorization.

78880210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 78880210560 in words is "seventy-eight billion, eight hundred eighty million, two hundred ten thousand, five hundred sixty".