78770788761600 has 2160 divisors, whose sum is σ = 323284912456968. Its totient is φ = 18835109314560.

The previous prime is 78770788761557. The next prime is 78770788761661. The reversal of 78770788761600 is 616788707787.

78770788761600 is a `hidden beast` number, since 7 + 8 + 7 + 7 + 0 + 7 + 8 + 8 + 7 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 45912489984 + 78724876271616 = 214272^2 + 8872704^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127667404492 + ... + 127667405108.

Almost surely, 2^{78770788761600} 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 78770788761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161642456228484).

78770788761600 is an abundant number, since it is smaller than the sum of its proper divisors (244514123695368).

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

78770788761600 is an equidigital number, since it uses as much as digits as its factorization.

78770788761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 309786624, while the sum is 72.

The spelling of 78770788761600 in words is "seventy-eight trillion, seven hundred seventy billion, seven hundred eighty-eight million, seven hundred sixty-one thousand, six hundred".