78775947694080 has 1872 divisors, whose sum is σ = 343273639310784. Its totient is φ = 16562470256640.

The previous prime is 78775947694063. The next prime is 78775947694099. The reversal of 78775947694080 is 8049674957787.

78775947694080 is a `hidden beast` number, since 7 + 8 + 7 + 7 + 59 + 476 + 94 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38863318027 + ... + 38863320053.

It is an arithmetic number, because the mean of its divisors is an integer number (183372670572).

Almost surely, 2^{78775947694080} is an apocalyptic number.

78775947694080 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 78775947694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171636819655392).

78775947694080 is an abundant number, since it is smaller than the sum of its proper divisors (264497691616704).

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

78775947694080 is a wasteful number, since it uses less digits than its factorization.

78775947694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 5974456320, while the sum is 81.

The spelling of 78775947694080 in words is "seventy-eight trillion, seven hundred seventy-five billion, nine hundred forty-seven million, six hundred ninety-four thousand, eighty".