78556677696 has 504 divisors, whose sum is σ = 277261807680. Its totient is φ = 21144582144.

The previous prime is 78556677691. The next prime is 78556677733. The reversal of 78556677696 is 69677665587.

78556677696 is a `hidden beast` number, since 7 + 8 + 556 + 6 + 7 + 7 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×78556677696² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78556677691) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141035050 + ... + 141035606.

Almost surely, 2^78556677696 is an apocalyptic number.

78556677696 is a gapful number since it is divisible by the number (76) 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 78556677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138630903840).

78556677696 is an abundant number, since it is smaller than the sum of its proper divisors (198705129984).

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

78556677696 is a wasteful number, since it uses less digits than its factorization.

78556677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 78556677696 in words is "seventy-eight billion, five hundred fifty-six million, six hundred seventy-seven thousand, six hundred ninety-six".