78522766882560 has 9216 divisors, whose sum is σ = 418689898905600. Its totient is φ = 13406935449600.

The previous prime is 78522766882523. The next prime is 78522766882607. The reversal of 78522766882560 is 6528866722587.

78522766882560 is a `hidden beast` number, since 7 + 8 + 52 + 2 + 7 + 6 + 6 + 8 + 8 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 946057432279 + ... + 946057432361.

It is an arithmetic number, because the mean of its divisors is an integer number (45430761600).

Almost surely, 2^{78522766882560} is an apocalyptic number.

78522766882560 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 78522766882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209344949452800).

78522766882560 is an abundant number, since it is smaller than the sum of its proper divisors (340167132023040).

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

78522766882560 is a wasteful number, since it uses less digits than its factorization.

78522766882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 78522766882560 in words is "seventy-eight trillion, five hundred twenty-two billion, seven hundred sixty-six million, eight hundred eighty-two thousand, five hundred sixty".