78088817664 has 352 divisors, whose sum is σ = 271705351680. Its totient is φ = 21841920000.

The previous prime is 78088817659. The next prime is 78088817753. The reversal of 78088817664 is 46671888087.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×78088817664² (a number of 23 digits) contains 22 as substring.

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, 3943789 + ... + 3963539.

Almost surely, 2^78088817664 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 78088817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135852675840).

78088817664 is an abundant number, since it is smaller than the sum of its proper divisors (193616534016).

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

78088817664 is a wasteful number, since it uses less digits than its factorization.

78088817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19804 (or 19780 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 78088817664 in words is "seventy-eight billion, eighty-eight million, eight hundred seventeen thousand, six hundred sixty-four".