78779032656000 has 256 divisors, whose sum is σ = 261309418830720. Its totient is φ = 20995118592000.

The previous prime is 78779032655971. The next prime is 78779032656001. The reversal of 78779032656000 is 65623097787.

It is a super-2 number, since 2×78779032656000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (78779032656001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79523730 + ... + 80508270.

Almost surely, 2^{78779032656000} 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 78779032656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130654709415360).

78779032656000 is an abundant number, since it is smaller than the sum of its proper divisors (182530386174720).

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

78779032656000 is a wasteful number, since it uses less digits than its factorization.

78779032656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986240 (or 986218 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 78779032656000 in words is "seventy-eight trillion, seven hundred seventy-nine billion, thirty-two million, six hundred fifty-six thousand".