78500088576 has 864 divisors, whose sum is σ = 295820761600. Its totient is φ = 20630163456.

The previous prime is 78500088547. The next prime is 78500088577. The reversal of 78500088576 is 67588000587.

It is a happy number.

78500088576 is a `hidden beast` number, since 7 + 8 + 500 + 0 + 88 + 57 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78500088577) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277385331 + ... + 277385613.

Almost surely, 2^78500088576 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 78500088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147910380800).

78500088576 is an abundant number, since it is smaller than the sum of its proper divisors (217320673024).

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

78500088576 is an equidigital number, since it uses as much as digits as its factorization.

78500088576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 78500088576 in words is "seventy-eight billion, five hundred million, eighty-eight thousand, five hundred seventy-six".